2525294772000 has 4608 divisors, whose sum is σ = 13010171166720. Its totient is φ = 467389440000.

The previous prime is 2525294771977. The next prime is 2525294772023. The reversal of 2525294772000 is 2774925252.

2525294772000 is a `hidden beast` number, since 2 + 52 + 529 + 4 + 7 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2525294771977) and next prime (2525294772023).

It is a super-2 number, since 2×2525294772000² (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 an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35567531965 + ... + 35567532035.

It is an arithmetic number, because the mean of its divisors is an integer number (2823387840).

Almost surely, 2^{2525294772000} is an apocalyptic number.

2525294772000 is a gapful number since it is divisible by the number (20) 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 2525294772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505085583360).

2525294772000 is an abundant number, since it is smaller than the sum of its proper divisors (10484876394720).

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

2525294772000 is a wasteful number, since it uses less digits than its factorization.

2525294772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2525294772000 in words is "two trillion, five hundred twenty-five billion, two hundred ninety-four million, seven hundred seventy-two thousand".