2712994560 has 360 divisors, whose sum is σ = 9829645056. Its totient is φ = 714424320.

The previous prime is 2712994547. The next prime is 2712994567. The reversal of 2712994560 is 654992172.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2712994567) 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, 14204065 + ... + 14204255.

Almost surely, 2^2712994560 is an apocalyptic number.

2712994560 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 2712994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914822528).

2712994560 is an abundant number, since it is smaller than the sum of its proper divisors (7116650496).

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

2712994560 is a wasteful number, since it uses less digits than its factorization.

2712994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2712994560 is about 52086.4143515370. The cubic root of 2712994560 is about 1394.7069797317.

The spelling of 2712994560 in words is "two billion, seven hundred twelve million, nine hundred ninety-four thousand, five hundred sixty".