2641832960 has 176 divisors, whose sum is σ = 7187426400. Its totient is φ = 923664384.

The previous prime is 2641832951. The next prime is 2641833001. The reversal of 2641832960 is 692381462.

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, 1263596 + ... + 1265684.

It is an arithmetic number, because the mean of its divisors is an integer number (40837650).

Almost surely, 2^2641832960 is an apocalyptic number.

2641832960 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 2641832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593713200).

2641832960 is an abundant number, since it is smaller than the sum of its proper divisors (4545593440).

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

2641832960 is a wasteful number, since it uses less digits than its factorization.

2641832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2641832960 is about 51398.7641874783. The cubic root of 2641832960 is about 1382.4044338564.

The spelling of 2641832960 in words is "two billion, six hundred forty-one million, eight hundred thirty-two thousand, nine hundred sixty".