2630390400 has 864 divisors, whose sum is σ = 11276197920. Its totient is φ = 577843200.

The previous prime is 2630390387. The next prime is 2630390401. The reversal of 2630390400 is 40930362.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2630390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 114364789 + ... + 114364811.

It is an arithmetic number, because the mean of its divisors is an integer number (13051155).

Almost surely, 2^2630390400 is an apocalyptic number.

2630390400 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 2630390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638098960).

2630390400 is an abundant number, since it is smaller than the sum of its proper divisors (8645807520).

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

2630390400 is a wasteful number, since it uses less digits than its factorization.

2630390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2630390400 is about 51287.3317691611. The cubic root of 2630390400 is about 1380.4056778329.

The spelling of 2630390400 in words is "two billion, six hundred thirty million, three hundred ninety thousand, four hundred".