2112566400 has 576 divisors, whose sum is σ = 9011700000. Its totient is φ = 481904640.

The previous prime is 2112566371. The next prime is 2112566411. The reversal of 2112566400 is 46652112.

2112566400 is a `hidden beast` number, since 2 + 1 + 1 + 256 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4233351 + ... + 4233849.

Almost surely, 2^2112566400 is an apocalyptic number.

2112566400 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 2112566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505850000).

2112566400 is an abundant number, since it is smaller than the sum of its proper divisors (6899133600).

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

2112566400 is a wasteful number, since it uses less digits than its factorization.

2112566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2112566400 is about 45962.6631082230. The cubic root of 2112566400 is about 1283.1284153987.

The spelling of 2112566400 in words is "two billion, one hundred twelve million, five hundred sixty-six thousand, four hundred".