2532612902400 has 2160 divisors, whose sum is σ = 11180418657408. Its totient is φ = 544997376000.

The previous prime is 2532612902383. The next prime is 2532612902437. The reversal of 2532612902400 is 42092162352.

2532612902400 is a `hidden beast` number, since 2 + 5 + 32 + 612 + 9 + 0 + 2 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×2532612902400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7174540624 + ... + 7174540976.

Almost surely, 2^{2532612902400} is an apocalyptic number.

2532612902400 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 2532612902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590209328704).

2532612902400 is an abundant number, since it is smaller than the sum of its proper divisors (8647805755008).

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

2532612902400 is a wasteful number, since it uses less digits than its factorization.

2532612902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2532612902400 in words is "two trillion, five hundred thirty-two billion, six hundred twelve million, nine hundred two thousand, four hundred".