2631398400 has 528 divisors, whose sum is σ = 9990670080. Its totient is φ = 686776320.

The previous prime is 2631398387. The next prime is 2631398423. The reversal of 2631398400 is 48931362.

2631398400 is a `hidden beast` number, since 263 + 1 + 398 + 4 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 55987177 + ... + 55987223.

Almost surely, 2^2631398400 is an apocalyptic number.

2631398400 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 2631398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995335040).

2631398400 is an abundant number, since it is smaller than the sum of its proper divisors (7359271680).

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

2631398400 is an frugal number, since it uses more digits than its factorization.

2631398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2631398400 is about 51297.1578160038. The cubic root of 2631398400 is about 1380.5819851497.

The spelling of 2631398400 in words is "two billion, six hundred thirty-one million, three hundred ninety-eight thousand, four hundred".