2112517324800 has 900 divisors, whose sum is σ = 8022025721556. Its totient is φ = 549244108800.

The previous prime is 2112517324703. The next prime is 2112517324829. The reversal of 2112517324800 is 84237152112.

2112517324800 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 5 + 173 + 2 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 782757789696 + 1329759535104 = 884736^2 + 1153152^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1360280824 + ... + 1360282376.

Almost surely, 2^{2112517324800} is an apocalyptic number.

2112517324800 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 2112517324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011012860778).

2112517324800 is an abundant number, since it is smaller than the sum of its proper divisors (5909508396756).

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

2112517324800 is an equidigital number, since it uses as much as digits as its factorization.

2112517324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2112517324800 in words is "two trillion, one hundred twelve billion, five hundred seventeen million, three hundred twenty-four thousand, eight hundred".