2553927408 has 200 divisors, whose sum is σ = 8239896720. Its totient is φ = 758937600.

The previous prime is 2553927403. The next prime is 2553927449. The reversal of 2553927408 is 8047293552.

2553927408 is a `hidden beast` number, since 2 + 553 + 92 + 7 + 4 + 0 + 8 = 666.

2553927408 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553927401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 415558 + ... + 421658.

Almost surely, 2^2553927408 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 2553927408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119948360).

2553927408 is an abundant number, since it is smaller than the sum of its proper divisors (5685969312).

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

2553927408 is a wasteful number, since it uses less digits than its factorization.

2553927408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2553927408 is about 50536.3968640425. The cubic root of 2553927408 is about 1366.8982357027.

The spelling of 2553927408 in words is "two billion, five hundred fifty-three million, nine hundred twenty-seven thousand, four hundred eight".