2631629952 has 256 divisors, whose sum is σ = 8940422400. Its totient is φ = 746496000.

The previous prime is 2631629899. The next prime is 2631629989. The reversal of 2631629952 is 2599261362.

2631629952 is a `hidden beast` number, since 2 + 631 + 6 + 2 + 9 + 9 + 5 + 2 = 666.

2631629952 is nontrivially palindromic in base 5.

2631629952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2631629898 and 2631629907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378452 + ... + 4379052.

It is an arithmetic number, because the mean of its divisors is an integer number (34923525).

Almost surely, 2^2631629952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470211200).

2631629952 is an abundant number, since it is smaller than the sum of its proper divisors (6308792448).

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

2631629952 is a wasteful number, since it uses less digits than its factorization.

2631629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 794 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2631629952 is about 51299.4147335035. The cubic root of 2631629952 is about 1380.6224790994.

The spelling of 2631629952 in words is "two billion, six hundred thirty-one million, six hundred twenty-nine thousand, nine hundred fifty-two".