2552634334100 has 36 divisors (see below), whose sum is σ = 5545898490300. Its totient is φ = 1019822031360.

The previous prime is 2552634334099. The next prime is 2552634334163. The reversal of 2552634334100 is 14334362552.

2552634334100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 205604206096 + 2347030128004 = 453436^2 + 1532002^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15312965 + ... + 15478764.

Almost surely, 2^{2552634334100} is an apocalyptic number.

2552634334100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552634334100 is an abundant number, since it is smaller than the sum of its proper divisors (2993264156200).

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

2552634334100 is a wasteful number, since it uses less digits than its factorization.

2552634334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30792572 (or 30792565 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 2552634334100 its reverse (14334362552), we get a palindrome (2566968696652).

The spelling of 2552634334100 in words is "two trillion, five hundred fifty-two billion, six hundred thirty-four million, three hundred thirty-four thousand, one hundred".