2553196608 has 168 divisors, whose sum is σ = 7604598456. Its totient is φ = 818380800.

The previous prime is 2553196589. The next prime is 2553196669. The reversal of 2553196608 is 8066913552.

2553196608 is a `hidden beast` number, since 2 + 5 + 5 + 31 + 9 + 6 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 2523253824 = 5472^2 + 50232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723228 + ... + 1724708.

It is an arithmetic number, because the mean of its divisors is an integer number (45265467).

Almost surely, 2^2553196608 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 2553196608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802299228).

2553196608 is an abundant number, since it is smaller than the sum of its proper divisors (5051401848).

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

2553196608 is a wasteful number, since it uses less digits than its factorization.

2553196608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2553196608 is about 50529.1659143509. The cubic root of 2553196608 is about 1366.7678450838.

The spelling of 2553196608 in words is "two billion, five hundred fifty-three million, one hundred ninety-six thousand, six hundred eight".