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2027440554640 = 2451031512237307
BaseRepresentation
bin11101100000001100110…
…111111100001010010000
321011211011211002110100121
4131200030313330022100
5231204144240222030
64151220543200024
7266322603241054
oct35401467741220
97154154073317
102027440554640
11711918379716
12288b218a6014
131192575b5657
14701b3011c64
1537b1208747a
hex1d80cdfc290

2027440554640 has 160 divisors (see below), whose sum is σ = 4813227933696. Its totient is φ = 794097907200.

The previous prime is 2027440554637. The next prime is 2027440554641. The reversal of 2027440554640 is 464550447202.

It is a super-2 number, since 2×20274405546402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2027440554641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277461867 + ... + 277469173.

Almost surely, 22027440554640 is an apocalyptic number.

2027440554640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027440554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406613966848).

2027440554640 is an abundant number, since it is smaller than the sum of its proper divisors (2785787379056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2027440554640 is a wasteful number, since it uses less digits than its factorization.

2027440554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 43.

The spelling of 2027440554640 in words is "two trillion, twenty-seven billion, four hundred forty million, five hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 151 206 223 302 412 446 515 604 755 824 892 1030 1115 1208 1510 1648 1784 2060 2230 2416 3020 3568 4120 4460 6040 7307 8240 8920 12080 14614 15553 17840 22969 29228 31106 33673 36535 45938 58456 62212 67346 73070 77765 91876 114845 116912 124424 134692 146140 155530 168365 183752 229690 248848 269384 292280 311060 336730 367504 459380 538768 584560 622120 673460 752621 918760 1103357 1244240 1346920 1505242 1629461 1837520 2206714 2693840 3010484 3258922 3468319 3763105 4413428 5516785 6020968 6517844 6936638 7526210 8147305 8826856 11033570 12041936 13035688 13873276 15052420 16294610 17341595 17653712 22067140 26071376 27746552 30104840 32589220 34683190 44134280 55493104 60209680 65178440 69366380 88268560 113645771 130356880 138732760 167834483 227291542 246048611 277465520 335668966 454583084 492097222 568228855 671337932 839172415 909166168 984194444 1136457710 1230243055 1342675864 1678344830 1818332336 1968388888 2272915420 2460486110 2685351728 3356689660 3936777776 4545830840 4920972220 6713379320 9091661680 9841944440 13426758640 19683888880 25343006933 50686013866 101372027732 126715034665 202744055464 253430069330 405488110928 506860138660 1013720277320 2027440554640