2553015168 has 384 divisors, whose sum is σ = 8483005440. Its totient is φ = 729907200.

The previous prime is 2553015131. The next prime is 2553015173. The reversal of 2553015168 is 8615103552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 26319696 + ... + 26319792.

It is an arithmetic number, because the mean of its divisors is an integer number (22091160).

Almost surely, 2^2553015168 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 2553015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241502720).

2553015168 is an abundant number, since it is smaller than the sum of its proper divisors (5929990272).

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

2553015168 is a wasteful number, since it uses less digits than its factorization.

2553015168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2553015168 is about 50527.3704837289. The cubic root of 2553015168 is about 1366.7354683850.

The spelling of 2553015168 in words is "two billion, five hundred fifty-three million, fifteen thousand, one hundred sixty-eight".