2492575517250 has 1280 divisors, whose sum is σ = 9148489878528. Its totient is φ = 491443200000.

The previous prime is 2492575517239. The next prime is 2492575517293. The reversal of 2492575517250 is 527155752942.

2492575517250 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 5 + 75 + 517 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 7863014092 + ... + 7863014408.

Almost surely, 2^{2492575517250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492575517250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574244939264).

2492575517250 is an abundant number, since it is smaller than the sum of its proper divisors (6655914361278).

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

2492575517250 is a wasteful number, since it uses less digits than its factorization.

2492575517250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 2492575517250 in words is "two trillion, four hundred ninety-two billion, five hundred seventy-five million, five hundred seventeen thousand, two hundred fifty".