2632178880 has 336 divisors, whose sum is σ = 9585838080. Its totient is φ = 661579776.

The previous prime is 2632178863. The next prime is 2632178893. The reversal of 2632178880 is 888712362.

2632178880 is a `hidden beast` number, since 2 + 632 + 1 + 7 + 8 + 8 + 8 + 0 = 666.

2632178880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5232709 + ... + 5233211.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^2632178880 is an apocalyptic number.

2632178880 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 2632178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

2632178880 is an abundant number, since it is smaller than the sum of its proper divisors (6953659200).

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

2632178880 is a wasteful number, since it uses less digits than its factorization.

2632178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2632178880 is about 51304.7646910109. The cubic root of 2632178880 is about 1380.7184664611.

The spelling of 2632178880 in words is "two billion, six hundred thirty-two million, one hundred seventy-eight thousand, eight hundred eighty".