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2400426026220 = 2235315032565709
BaseRepresentation
bin100010111011100100100…
…010100110010011101100
322111110220211001121001210
4202323210202212103230
5303312033030314340
65034423540234420
7335265536366025
oct42734442462354
98443824047053
102400426026220
11846018a04a72
1232927599ba10
13145489227321
148427746dc4c
1542691ecb180
hex22ee48a64ec

2400426026220 has 96 divisors (see below), whose sum is σ = 6951801507840. Its totient is φ = 618232999680.

The previous prime is 2400426026197. The next prime is 2400426026227. The reversal of 2400426026220 is 226206240042.

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

It is not an unprimeable number, because it can be changed into a prime (2400426026227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347275 + ... + 2218434.

It is an arithmetic number, because the mean of its divisors is an integer number (72414599040).

Almost surely, 22400426026220 is an apocalyptic number.

2400426026220 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 2400426026220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475900753920).

2400426026220 is an abundant number, since it is smaller than the sum of its proper divisors (4551375481620).

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

2400426026220 is a wasteful number, since it uses less digits than its factorization.

2400426026220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566255 (or 2566253 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2400426026220 in words is "two trillion, four hundred billion, four hundred twenty-six million, twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 503 620 930 1006 1509 1860 2012 2515 3018 5030 6036 7545 10060 15090 15593 30180 31186 46779 62372 77965 93558 155930 187116 233895 311860 467790 935580 2565709 5131418 7697127 10262836 12828545 15394254 25657090 30788508 38485635 51314180 76971270 79536979 153942540 159073958 238610937 318147916 397684895 477221874 795369790 954443748 1193054685 1290551627 1590739580 2386109370 2581103254 3871654881 4772218740 5162206508 6452758135 7743309762 12905516270 15486619524 19358274405 25811032540 38716548810 40007100437 77433097620 80014200874 120021301311 160028401748 200035502185 240042602622 400071004370 480085205244 600106506555 800142008740 1200213013110 2400426026220