2553434375634 has 64 divisors (see below), whose sum is σ = 5829152515200. Its totient is φ = 827928506304.

The previous prime is 2553434375627. The next prime is 2553434375749. The reversal of 2553434375634 is 4365734343552.

2553434375634 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 43 + 4 + 37 + 563 + 4 = 666.

It is a super-2 number, since 2×2553434375634² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7724212 + ... + 8048000.

It is an arithmetic number, because the mean of its divisors is an integer number (91080508050).

Almost surely, 2^{2553434375634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553434375634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914576257600).

2553434375634 is an abundant number, since it is smaller than the sum of its proper divisors (3275718139566).

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

2553434375634 is a wasteful number, since it uses less digits than its factorization.

2553434375634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327784 (or 327778 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 54.

The spelling of 2553434375634 in words is "two trillion, five hundred fifty-three billion, four hundred thirty-four million, three hundred seventy-five thousand, six hundred thirty-four".