2525332304320 has 448 divisors, whose sum is σ = 7201621278720. Its totient is φ = 825436459008.

The previous prime is 2525332304303. The next prime is 2525332304347. The reversal of 2525332304320 is 234032335252.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2525332304320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2747912821 + ... + 2747913739.

Almost surely, 2^{2525332304320} is an apocalyptic number.

2525332304320 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 2525332304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600810639360).

2525332304320 is an abundant number, since it is smaller than the sum of its proper divisors (4676288974400).

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

2525332304320 is a wasteful number, since it uses less digits than its factorization.

2525332304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

Adding to 2525332304320 its reverse (234032335252), we get a palindrome (2759364639572).

The spelling of 2525332304320 in words is "two trillion, five hundred twenty-five billion, three hundred thirty-two million, three hundred four thousand, three hundred twenty".