2131205034400 has 144 divisors (see below), whose sum is σ = 5604382484064. Its totient is φ = 786715130880.

The previous prime is 2131205034377. The next prime is 2131205034503. The reversal of 2131205034400 is 44305021312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47016547 + ... + 47061853.

It is an arithmetic number, because the mean of its divisors is an integer number (38919322806).

Almost surely, 2^{2131205034400} is an apocalyptic number.

2131205034400 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 2131205034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802191242032).

2131205034400 is an abundant number, since it is smaller than the sum of its proper divisors (3473177449664).

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

2131205034400 is a wasteful number, since it uses less digits than its factorization.

2131205034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49863 (or 49850 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 2131205034400 in words is "two trillion, one hundred thirty-one billion, two hundred five million, thirty-four thousand, four hundred".