2136974264800 has 72 divisors (see below), whose sum is σ = 5217948436176. Its totient is φ = 854616023040.

The previous prime is 2136974264783. The next prime is 2136974264809. The reversal of 2136974264800 is 84624796312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136974264809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3704704 + ... + 4242496.

It is an arithmetic number, because the mean of its divisors is an integer number (72471506058).

Almost surely, 2^{2136974264800} is an apocalyptic number.

2136974264800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136974264800 is an abundant number, since it is smaller than the sum of its proper divisors (3080974171376).

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

2136974264800 is a wasteful number, since it uses less digits than its factorization.

2136974264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542780 (or 542767 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 2136974264800 in words is "two trillion, one hundred thirty-six billion, nine hundred seventy-four million, two hundred sixty-four thousand, eight hundred".