2553063408 has 160 divisors (see below), whose sum is σ = 8500805120. Its totient is φ = 718502400.

The previous prime is 2553063397. The next prime is 2553063419. The reversal of 2553063408 is 8043603552.

It is a happy number.

2553063408 is a `hidden beast` number, since 2 + 5 + 5 + 306 + 340 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2553063397) and next prime (2553063419).

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 31 ways as a sum of consecutive naturals, for example, 196308 + ... + 208908.

It is an arithmetic number, because the mean of its divisors is an integer number (53130032).

Almost surely, 2^2553063408 is an apocalyptic number.

2553063408 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 2553063408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250402560).

2553063408 is an abundant number, since it is smaller than the sum of its proper divisors (5947741712).

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

2553063408 is a wasteful number, since it uses less digits than its factorization.

2553063408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12692 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2553063408 is about 50527.8478465094. The cubic root of 2553063408 is about 1366.7440766253.

The spelling of 2553063408 in words is "two billion, five hundred fifty-three million, sixty-three thousand, four hundred eight".