2553034106304 has 840 divisors, whose sum is σ = 8754999603504. Its totient is φ = 734104166400.

The previous prime is 2553034106257. The next prime is 2553034106323. The reversal of 2553034106304 is 4036014303552.

2553034106304 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 3 + 4 + 10 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 951558147 + ... + 951560829.

Almost surely, 2^{2553034106304} is an apocalyptic number.

2553034106304 is a gapful number since it is divisible by the number (24) 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 2553034106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377499801752).

2553034106304 is an abundant number, since it is smaller than the sum of its proper divisors (6201965497200).

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

2553034106304 is a wasteful number, since it uses less digits than its factorization.

2553034106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 2553034106304 its reverse (4036014303552), we get a palindrome (6589048409856).

The spelling of 2553034106304 in words is "two trillion, five hundred fifty-three billion, thirty-four million, one hundred six thousand, three hundred four".