2712412200960 has 3024 divisors, whose sum is σ = 12903833641608. Its totient is φ = 523197480960.

The previous prime is 2712412200937. The next prime is 2712412200989. The reversal of 2712412200960 is 690022142172.

2712412200960 is a `hidden beast` number, since 27 + 12 + 412 + 200 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2502369644544 + 210042556416 = 1581888^2 + 458304^2 .

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 215 ways as a sum of consecutive naturals, for example, 37156331484 + ... + 37156331556.

Almost surely, 2^{2712412200960} is an apocalyptic number.

2712412200960 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 2712412200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451916820804).

2712412200960 is an abundant number, since it is smaller than the sum of its proper divisors (10191421440648).

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

2712412200960 is a wasteful number, since it uses less digits than its factorization.

2712412200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2712412200960 in words is "two trillion, seven hundred twelve billion, four hundred twelve million, two hundred thousand, nine hundred sixty".