2132095910400 has 240 divisors, whose sum is σ = 7825829695200. Its totient is φ = 568558817280.

The previous prime is 2132095910377. The next prime is 2132095910401. The reversal of 2132095910400 is 40195902312.

2132095910400 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 9 + 591 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2132095910400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2132095910401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2739030 + ... + 3430229.

It is an arithmetic number, because the mean of its divisors is an integer number (32607623730).

Almost surely, 2^{2132095910400} is an apocalyptic number.

2132095910400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132095910400 is an abundant number, since it is smaller than the sum of its proper divisors (5693733784800).

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

2132095910400 is an equidigital number, since it uses as much as digits as its factorization.

2132095910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169296 (or 6169269 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 2132095910400 in words is "two trillion, one hundred thirty-two billion, ninety-five million, nine hundred ten thousand, four hundred".