2712152880 has 120 divisors (see below), whose sum is σ = 9147003840. Its totient is φ = 720168960.

The previous prime is 2712152879. The next prime is 2712152897. The reversal of 2712152880 is 882512172.

2712152880 is a `hidden beast` number, since 2 + 7 + 121 + 528 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164200 + ... + 179960.

It is an arithmetic number, because the mean of its divisors is an integer number (76225032).

Almost surely, 2^2712152880 is an apocalyptic number.

2712152880 is a gapful number since it is divisible by the number (20) 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 2712152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573501920).

2712152880 is an abundant number, since it is smaller than the sum of its proper divisors (6434850960).

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

2712152880 is a wasteful number, since it uses less digits than its factorization.

2712152880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16019 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2712152880 is about 52078.3340747378. The cubic root of 2712152880 is about 1394.5627334186.

The spelling of 2712152880 in words is "two billion, seven hundred twelve million, one hundred fifty-two thousand, eight hundred eighty".