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2425040420 = 2251123598123
BaseRepresentation
bin1001000010001011…
…0010111000100100
320021000010211001212
42100202302320210
514431302243140
61040345010552
7114044334455
oct22042627044
96230124055
102425040420
111034965840
12578183a58
132c854537a
141900db12c
15e2d70765
hex908b2e24

2425040420 has 96 divisors (see below), whose sum is σ = 5896074240. Its totient is φ = 829093760.

The previous prime is 2425040413. The next prime is 2425040447. The reversal of 2425040420 is 240405242.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 294479 + ... + 302601.

It is an arithmetic number, because the mean of its divisors is an integer number (61417440).

Almost surely, 22425040420 is an apocalyptic number.

2425040420 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 2425040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948037120).

2425040420 is an abundant number, since it is smaller than the sum of its proper divisors (3471033820).

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

2425040420 is a wasteful number, since it uses less digits than its factorization.

2425040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2425040420 is about 49244.6994101903. The cubic root of 2425040420 is about 1343.5061555153.

Adding to 2425040420 its reverse (240405242), we get a palindrome (2665445662).

The spelling of 2425040420 in words is "two billion, four hundred twenty-five million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 59 92 110 115 118 220 230 236 253 295 460 506 590 649 1012 1180 1265 1298 1357 2530 2596 2714 3245 5060 5428 6490 6785 8123 12980 13570 14927 16246 27140 29854 32492 40615 59708 74635 81230 89353 149270 162460 178706 186829 298540 357412 373658 446765 479257 747316 893530 934145 958514 1787060 1868290 1917028 2055119 2396285 3736580 4110238 4792570 5271827 8220476 9585140 10275595 10543654 11022911 20551190 21087308 22045822 26359135 41102380 44091644 52718270 55114555 105436540 110229110 121252021 220458220 242504042 485008084 606260105 1212520210 2425040420