2631430080 has 252 divisors, whose sum is σ = 9556238952. Its totient is φ = 664519680.

The previous prime is 2631430079. The next prime is 2631430117. The reversal of 2631430080 is 800341362.

It is a happy number.

2631430080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1038415 + ... + 1040945.

Almost surely, 2^2631430080 is an apocalyptic number.

2631430080 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 2631430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778119476).

2631430080 is an abundant number, since it is smaller than the sum of its proper divisors (6924808872).

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

2631430080 is a wasteful number, since it uses less digits than its factorization.

2631430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2631430080 is about 51297.4666041121. The cubic root of 2631430080 is about 1380.5875255069.

The spelling of 2631430080 in words is "two billion, six hundred thirty-one million, four hundred thirty thousand, eighty".