2132524800 has 864 divisors, whose sum is σ = 9367733760. Its totient is φ = 464486400.

The previous prime is 2132524799. The next prime is 2132524819. The reversal of 2132524800 is 84252312.

2132524800 is a `hidden beast` number, since 2 + 132 + 52 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49593579 + ... + 49593621.

Almost surely, 2^2132524800 is an apocalyptic number.

2132524800 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 2132524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683866880).

2132524800 is an abundant number, since it is smaller than the sum of its proper divisors (7235208960).

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

2132524800 is a wasteful number, since it uses less digits than its factorization.

2132524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2132524800 is about 46179.2680756203. The cubic root of 2132524800 is about 1287.1565276011.

The spelling of 2132524800 in words is "two billion, one hundred thirty-two million, five hundred twenty-four thousand, eight hundred".