2631809426400 has 5760 divisors, whose sum is σ = 14112536739840. Its totient is φ = 459841536000.

The previous prime is 2631809426321. The next prime is 2631809426413. The reversal of 2631809426400 is 46249081362.

2631809426400 is a `hidden beast` number, since 2 + 6 + 3 + 180 + 9 + 426 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 37067738365 + ... + 37067738435.

It is an arithmetic number, because the mean of its divisors is an integer number (2450093184).

Almost surely, 2^{2631809426400} is an apocalyptic number.

2631809426400 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 2631809426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056268369920).

2631809426400 is an abundant number, since it is smaller than the sum of its proper divisors (11480727313440).

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

2631809426400 is a wasteful number, since it uses less digits than its factorization.

2631809426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2631809426400 in words is "two trillion, six hundred thirty-one billion, eight hundred nine million, four hundred twenty-six thousand, four hundred".