2265085779264 has 252 divisors, whose sum is σ = 8155818539232. Its totient is φ = 588333841920.

The previous prime is 2265085779263. The next prime is 2265085779283. The reversal of 2265085779264 is 4629775805622.

2265085779264 is a `hidden beast` number, since 2 + 2 + 6 + 50 + 8 + 577 + 9 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×2265085779264² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265085779263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1833522 + ... + 2809265.

Almost surely, 2^{2265085779264} is an apocalyptic number.

2265085779264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2265085779264 is an abundant number, since it is smaller than the sum of its proper divisors (5890732759968).

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

2265085779264 is a wasteful number, since it uses less digits than its factorization.

2265085779264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642834 (or 4642810 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 2265085779264 in words is "two trillion, two hundred sixty-five billion, eighty-five million, seven hundred seventy-nine thousand, two hundred sixty-four".