2732012640 has 432 divisors, whose sum is σ = 11203920000. Its totient is φ = 603832320.

The previous prime is 2732012629. The next prime is 2732012651. The reversal of 2732012640 is 462102372.

2732012640 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 0 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2732012629) and next prime (2732012651).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186736 + ... + 2187984.

It is an arithmetic number, because the mean of its divisors is an integer number (25935000).

Almost surely, 2^2732012640 is an apocalyptic number.

2732012640 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 2732012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960000).

2732012640 is an abundant number, since it is smaller than the sum of its proper divisors (8471907360).

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

2732012640 is a wasteful number, since it uses less digits than its factorization.

2732012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2732012640 is about 52268.6582953877. The cubic root of 2732012640 is about 1397.9583574203.

The spelling of 2732012640 in words is "two billion, seven hundred thirty-two million, twelve thousand, six hundred forty".