2712932352 has 520 divisors, whose sum is σ = 9490878936. Its totient is φ = 764411904.

The previous prime is 2712932351. The next prime is 2712932377. The reversal of 2712932352 is 2532392172.

It is a happy number.

2712932352 is a `hidden beast` number, since 271 + 2 + 9 + 32 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 796594176 + 1916338176 = 28224^2 + 43776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (45360) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2712932351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73322478 + ... + 73322514.

Almost surely, 2^2712932352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745439468).

2712932352 is an abundant number, since it is smaller than the sum of its proper divisors (6777946584).

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

2712932352 is a wasteful number, since it uses less digits than its factorization.

2712932352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2712932352 is about 52085.8171866392. The cubic root of 2712932352 is about 1394.6963196053.

The spelling of 2712932352 in words is "two billion, seven hundred twelve million, nine hundred thirty-two thousand, three hundred fifty-two".