2521345532400 has 360 divisors, whose sum is σ = 9133670678496. Its totient is φ = 642880972800.

The previous prime is 2521345532399. The next prime is 2521345532467. The reversal of 2521345532400 is 42355431252.

2521345532400 is a `hidden beast` number, since 2 + 5 + 21 + 345 + 53 + 240 + 0 = 666.

2521345532400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332935014 + ... + 332942586.

Almost surely, 2^{2521345532400} is an apocalyptic number.

2521345532400 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 2521345532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566835339248).

2521345532400 is an abundant number, since it is smaller than the sum of its proper divisors (6612325146096).

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

2521345532400 is a wasteful number, since it uses less digits than its factorization.

2521345532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2521345532400 in words is "two trillion, five hundred twenty-one billion, three hundred forty-five million, five hundred thirty-two thousand, four hundred".