2552937408 has 168 divisors, whose sum is σ = 8447044320. Its totient is φ = 722073600.

The previous prime is 2552937403. The next prime is 2552937467. The reversal of 2552937408 is 8047392552.

2552937408 is a `hidden beast` number, since 2 + 552 + 93 + 7 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552937403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404098 + ... + 410366.

Almost surely, 2^2552937408 is an apocalyptic number.

2552937408 is a gapful number since it is divisible by the number (28) 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 2552937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223522160).

2552937408 is an abundant number, since it is smaller than the sum of its proper divisors (5894106912).

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

2552937408 is a wasteful number, since it uses less digits than its factorization.

2552937408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6382 counting only the distinct ones).

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

The square root of 2552937408 is about 50526.6009939319. The cubic root of 2552937408 is about 1366.7215921874.

The spelling of 2552937408 in words is "two billion, five hundred fifty-two million, nine hundred thirty-seven thousand, four hundred eight".