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2040453480 = 2335133142193
BaseRepresentation
bin111100110011110…
…1101100101101000
312021012110202222010
41321213231211220
513134324002410
6534245555520
7101364365652
oct17147554550
95235422863
102040453480
1195786799a
1248b415ba0
1326696c430
14154dc96d2
15be203c20
hex799ed968

2040453480 has 128 divisors (see below), whose sum is σ = 6805048320. Its totient is φ = 486051840.

The previous prime is 2040453479. The next prime is 2040453523. The reversal of 2040453480 is 843540402.

It is a super-2 number, since 2×20404534802 = 8326900808088220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27264 + ... + 69456.

It is an arithmetic number, because the mean of its divisors is an integer number (53164440).

Almost surely, 22040453480 is an apocalyptic number.

2040453480 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 2040453480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402524160).

2040453480 is an abundant number, since it is smaller than the sum of its proper divisors (4764594840).

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

2040453480 is a wasteful number, since it uses less digits than its factorization.

2040453480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42251 (or 42247 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2040453480 is about 45171.3789915694. The cubic root of 2040453480 is about 1268.3591100746.

Adding to 2040453480 its reverse (843540402), we get a palindrome (2883993882).

The spelling of 2040453480 in words is "two billion, forty million, four hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 42193 48360 84386 126579 168772 210965 253158 337544 421930 506316 548509 632895 843860 1012632 1097018 1265790 1307983 1645527 1687720 2194036 2531580 2615966 2742545 3291054 3923949 4388072 5063160 5231932 5485090 6539915 6582108 7847898 8227635 10463864 10970180 13079830 13164216 15695796 16455270 17003779 19619745 21940360 26159660 31391592 32910540 34007558 39239490 51011337 52319320 65821080 68015116 78478980 85018895 102022674 136030232 156957960 170037790 204045348 255056685 340075580 408090696 510113370 680151160 1020226740 2040453480