2630136268800 has 1152 divisors, whose sum is σ = 9920965017600. Its totient is φ = 682795008000.

The previous prime is 2630136268709. The next prime is 2630136268831. The reversal of 2630136268800 is 88626310362.

It is a happy number.

2630136268800 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 13 + 626 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12465100695 + ... + 12465100905.

It is an arithmetic number, because the mean of its divisors is an integer number (8611948800).

Almost surely, 2^{2630136268800} is an apocalyptic number.

2630136268800 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 2630136268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960482508800).

2630136268800 is an abundant number, since it is smaller than the sum of its proper divisors (7290828748800).

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

2630136268800 is a wasteful number, since it uses less digits than its factorization.

2630136268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 419 counting only the distinct ones).

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

The spelling of 2630136268800 in words is "two trillion, six hundred thirty billion, one hundred thirty-six million, two hundred sixty-eight thousand, eight hundred".