2641232880 has 640 divisors, whose sum is σ = 11339274240. Its totient is φ = 555171840.

The previous prime is 2641232879. The next prime is 2641232927. The reversal of 2641232880 is 882321462.

2641232880 is a `hidden beast` number, since 2 + 641 + 2 + 3 + 2 + 8 + 8 + 0 = 666.

2641232880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2641232880² = 13952222252786188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250709 + ... + 5251211.

It is an arithmetic number, because the mean of its divisors is an integer number (17717616).

Almost surely, 2^2641232880 is an apocalyptic number.

2641232880 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 2641232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

2641232880 is an abundant number, since it is smaller than the sum of its proper divisors (8698041360).

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

2641232880 is a wasteful number, since it uses less digits than its factorization.

2641232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2641232880 is about 51392.9263615140. The cubic root of 2641232880 is about 1382.2997570300.

The spelling of 2641232880 in words is "two billion, six hundred forty-one million, two hundred thirty-two thousand, eight hundred eighty".