2505235505440 has 24 divisors (see below), whose sum is σ = 5918618881980. Its totient is φ = 1002094202112.

The previous prime is 2505235505431. The next prime is 2505235505447. The reversal of 2505235505440 is 445055325052.

It can be written as a sum of positive squares in 2 ways, for example, as 2461673136784 + 43562368656 = 1568972^2 + 208716^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2505235505393 and 2505235505402.

It is not an unprimeable number, because it can be changed into a prime (2505235505447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7828860795 + ... + 7828861114.

Almost surely, 2^{2505235505440} is an apocalyptic number.

2505235505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505235505440 is an abundant number, since it is smaller than the sum of its proper divisors (3413383376540).

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

2505235505440 is a wasteful number, since it uses less digits than its factorization.

2505235505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15657721924 (or 15657721916 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 2505235505440 in words is "two trillion, five hundred five billion, two hundred thirty-five million, five hundred five thousand, four hundred forty".