2732607680 has 112 divisors (see below), whose sum is σ = 7139452320. Its totient is φ = 987955200.

The previous prime is 2732607671. The next prime is 2732607707. The reversal of 2732607680 is 867062372.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634976 + ... + 639264.

It is an arithmetic number, because the mean of its divisors is an integer number (63745110).

Almost surely, 2^2732607680 is an apocalyptic number.

2732607680 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 2732607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569726160).

2732607680 is an abundant number, since it is smaller than the sum of its proper divisors (4406844640).

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

2732607680 is a wasteful number, since it uses less digits than its factorization.

2732607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 2732607680 is about 52274.3501155203. The cubic root of 2732607680 is about 1398.0598431338.

The spelling of 2732607680 in words is "two billion, seven hundred thirty-two million, six hundred seven thousand, six hundred eighty".