2553681734604 has 576 divisors, whose sum is σ = 8794728004608. Its totient is φ = 608345717760.

The previous prime is 2553681734579. The next prime is 2553681734609. The reversal of 2553681734604 is 4064371863552.

2553681734604 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 6 + 8 + 173 + 460 + 4 = 666.

2553681734604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2553681734609) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 710736232 + ... + 710739824.

It is an arithmetic number, because the mean of its divisors is an integer number (15268625008).

Almost surely, 2^{2553681734604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553681734604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397364002304).

2553681734604 is an abundant number, since it is smaller than the sum of its proper divisors (6241046270004).

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

2553681734604 is a wasteful number, since it uses less digits than its factorization.

2553681734604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 2553681734604 in words is "two trillion, five hundred fifty-three billion, six hundred eighty-one million, seven hundred thirty-four thousand, six hundred four".