2265524738100 has 108 divisors (see below), whose sum is σ = 7647404655436. Its totient is φ = 557667624960.

The previous prime is 2265524738063. The next prime is 2265524738119. The reversal of 2265524738100 is 18374255622.

2265524738100 is a `hidden beast` number, since 2 + 26 + 5 + 5 + 247 + 381 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 522269273124 + 1743255464976 = 722682^2 + 1320324^2 .

It is a super-2 number, since 2×2265524738100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96805597 + ... + 96828996.

Almost surely, 2^{2265524738100} is an apocalyptic number.

2265524738100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265524738100 is an abundant number, since it is smaller than the sum of its proper divisors (5381879917336).

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

2265524738100 is a wasteful number, since it uses less digits than its factorization.

2265524738100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193634626 (or 193634616 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2265524738100 in words is "two trillion, two hundred sixty-five billion, five hundred twenty-four million, seven hundred thirty-eight thousand, one hundred".