2612645722400 has 576 divisors, whose sum is σ = 7880953086720. Its totient is φ = 825724108800.

The previous prime is 2612645722397. The next prime is 2612645722433. The reversal of 2612645722400 is 42275462162.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 2674150712 + ... + 2674151688.

It is an arithmetic number, because the mean of its divisors is an integer number (13682210220).

Almost surely, 2^{2612645722400} is an apocalyptic number.

2612645722400 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 2612645722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940476543360).

2612645722400 is an abundant number, since it is smaller than the sum of its proper divisors (5268307364320).

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

2612645722400 is a wasteful number, since it uses less digits than its factorization.

2612645722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 2612645722400 in words is "two trillion, six hundred twelve billion, six hundred forty-five million, seven hundred twenty-two thousand, four hundred".