2633412880 has 240 divisors, whose sum is σ = 7725041280. Its totient is φ = 829108224.

The previous prime is 2633412857. The next prime is 2633412917. The reversal of 2633412880 is 882143362.

It is a congruent number.

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, 2865061 + ... + 2865979.

It is an arithmetic number, because the mean of its divisors is an integer number (32187672).

Almost surely, 2^2633412880 is an apocalyptic number.

2633412880 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 2633412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862520640).

2633412880 is an abundant number, since it is smaller than the sum of its proper divisors (5091628400).

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

2633412880 is a wasteful number, since it uses less digits than its factorization.

2633412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2633412880 is about 51316.7894553040. The cubic root of 2633412880 is about 1380.9341990638.

It can be divided in two parts, 263 and 3412880, that added together give a palindrome (3413143).

The spelling of 2633412880 in words is "two billion, six hundred thirty-three million, four hundred twelve thousand, eight hundred eighty".