2712344460 has 192 divisors, whose sum is σ = 9212313600. Its totient is φ = 582835968.

The previous prime is 2712344447. The next prime is 2712344489. The reversal of 2712344460 is 644432172.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567561 + ... + 572319.

It is an arithmetic number, because the mean of its divisors is an integer number (47980800).

Almost surely, 2^2712344460 is an apocalyptic number.

2712344460 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 2712344460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2712344460 is an abundant number, since it is smaller than the sum of its proper divisors (6499969140).

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

2712344460 is a wasteful number, since it uses less digits than its factorization.

2712344460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2712344460 is about 52080.1733868082. The cubic root of 2712344460 is about 1394.5955688388.

The spelling of 2712344460 in words is "two billion, seven hundred twelve million, three hundred forty-four thousand, four hundred sixty".