2712100920 has 64 divisors (see below), whose sum is σ = 8142059520. Its totient is φ = 722715264.

The previous prime is 2712100879. The next prime is 2712100921. The reversal of 2712100920 is 290012172.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712100921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180829 + ... + 195251.

It is an arithmetic number, because the mean of its divisors is an integer number (127219680).

Almost surely, 2^2712100920 is an apocalyptic number.

2712100920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2712100920 is an abundant number, since it is smaller than the sum of its proper divisors (5429958600).

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

2712100920 is a wasteful number, since it uses less digits than its factorization.

2712100920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2712100920 is about 52077.8352084646. The cubic root of 2712100920 is about 1394.5538275856.

The spelling of 2712100920 in words is "two billion, seven hundred twelve million, one hundred thousand, nine hundred twenty".