2712764032 has 128 divisors (see below), whose sum is σ = 6045580800. Its totient is φ = 1202211840.

The previous prime is 2712764017. The next prime is 2712764051. The reversal of 2712764032 is 2304672172.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16244013 + ... + 16244179.

It is an arithmetic number, because the mean of its divisors is an integer number (47231100).

Almost surely, 2^2712764032 is an apocalyptic number.

2712764032 is a gapful number since it is divisible by the number (22) 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 2712764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022790400).

2712764032 is an abundant number, since it is smaller than the sum of its proper divisors (3332816768).

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

2712764032 is a wasteful number, since it uses less digits than its factorization.

2712764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 2712764032 is about 52084.2013666332. The cubic root of 2712764032 is about 1394.6674750306.

The spelling of 2712764032 in words is "two billion, seven hundred twelve million, seven hundred sixty-four thousand, thirty-two".