2505977552970 has 48 divisors (see below), whose sum is σ = 6527585279592. Its totient is φ = 667025435520.

The previous prime is 2505977552957. The next prime is 2505977552977. The reversal of 2505977552970 is 792557795052.

2505977552970 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 9 + 7 + 7 + 552 + 9 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1495584689481 + 1010392863489 = 1222941^2 + 1005183^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2505977552898 and 2505977552907.

It is not an unprimeable number, because it can be changed into a prime (2505977552977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25685317 + ... + 25782696.

Almost surely, 2^{2505977552970} is an apocalyptic number.

2505977552970 is an abundant number, since it is smaller than the sum of its proper divisors (4021607726622).

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

2505977552970 is a wasteful number, since it uses less digits than its factorization.

2505977552970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51468567 (or 51468564 counting only the distinct ones).

The product of its (nonzero) digits is 69457500, while the sum is 63.

The spelling of 2505977552970 in words is "two trillion, five hundred five billion, nine hundred seventy-seven million, five hundred fifty-two thousand, nine hundred seventy".