2140332334400 has 84 divisors (see below), whose sum is σ = 5671674940092. Its totient is φ = 790276546560.

The previous prime is 2140332334379. The next prime is 2140332334447. The reversal of 2140332334400 is 44332330412.

It can be written as a sum of positive squares in 6 ways, for example, as 47356723456 + 2092975610944 = 217616^2 + 1446712^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51429497 + ... + 51471096.

It is an arithmetic number, because the mean of its divisors is an integer number (67519939763).

Almost surely, 2^{2140332334400} is an apocalyptic number.

2140332334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140332334400 is an abundant number, since it is smaller than the sum of its proper divisors (3531342605692).

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

2140332334400 is a wasteful number, since it uses less digits than its factorization.

2140332334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102900628 (or 102900613 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 2140332334400 its reverse (44332330412), we get a palindrome (2184664664812).

The spelling of 2140332334400 in words is "two trillion, one hundred forty billion, three hundred thirty-two million, three hundred thirty-four thousand, four hundred".