2521612800 has 720 divisors, whose sum is σ = 10686012480. Its totient is φ = 555909120.

The previous prime is 2521612799. The next prime is 2521612829. The reversal of 2521612800 is 82161252.

It is a happy number.

2521612800 is a `hidden beast` number, since 2 + 521 + 61 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2521612800² = 12717062226247680000, which contains 22 as substring.

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, 42739171 + ... + 42739229.

It is an arithmetic number, because the mean of its divisors is an integer number (14841684).

Almost surely, 2^2521612800 is an apocalyptic number.

2521612800 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 2521612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343006240).

2521612800 is an abundant number, since it is smaller than the sum of its proper divisors (8164399680).

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

2521612800 is a wasteful number, since it uses less digits than its factorization.

2521612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2521612800 is about 50215.6628951565. The cubic root of 2521612800 is about 1361.1086692106.

It can be divided in two parts, 252 and 1612800, that multiplied together give a square (406425600 = 20160²).

The spelling of 2521612800 in words is "two billion, five hundred twenty-one million, six hundred twelve thousand, eight hundred".