2552101344 has 480 divisors, whose sum is σ = 8759741760. Its totient is φ = 722608128.

The previous prime is 2552101327. The next prime is 2552101369. The reversal of 2552101344 is 4431012552.

2552101344 is a `hidden beast` number, since 2 + 5 + 521 + 0 + 134 + 4 = 666.

2552101344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28675252 + ... + 28675340.

It is an arithmetic number, because the mean of its divisors is an integer number (18249462).

Almost surely, 2^2552101344 is an apocalyptic number.

2552101344 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 2552101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880).

2552101344 is an abundant number, since it is smaller than the sum of its proper divisors (6207640416).

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

2552101344 is a wasteful number, since it uses less digits than its factorization.

2552101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2552101344 is about 50518.3268131477. The cubic root of 2552101344 is about 1366.5723795617.

Adding to 2552101344 its reverse (4431012552), we get a palindrome (6983113896).

The spelling of 2552101344 in words is "two billion, five hundred fifty-two million, one hundred one thousand, three hundred forty-four".