2295642795264 has 576 divisors, whose sum is σ = 8581127994880. Its totient is φ = 589074923520.

The previous prime is 2295642795203. The next prime is 2295642795311. The reversal of 2295642795264 is 4625972465922.

2295642795264 is a `hidden beast` number, since 2 + 2 + 9 + 564 + 2 + 7 + 9 + 5 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2295642795264² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23223384 + ... + 23322024.

Almost surely, 2^{2295642795264} is an apocalyptic number.

2295642795264 is a gapful number since it is divisible by the number (24) 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 2295642795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290563997440).

2295642795264 is an abundant number, since it is smaller than the sum of its proper divisors (6285485199616).

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

2295642795264 is a wasteful number, since it uses less digits than its factorization.

2295642795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98723 (or 98703 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 2295642795264 in words is "two trillion, two hundred ninety-five billion, six hundred forty-two million, seven hundred ninety-five thousand, two hundred sixty-four".