2553867504 has 120 divisors (see below), whose sum is σ = 7284814992. Its totient is φ = 835061760.

The previous prime is 2553867479. The next prime is 2553867509. The reversal of 2553867504 is 4057683552.

2553867504 is a `hidden beast` number, since 2 + 5 + 538 + 67 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2553867504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553867509) 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, 1875784 + ... + 1877144.

Almost surely, 2^2553867504 is an apocalyptic number.

2553867504 is a gapful number since it is divisible by the number (24) 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 2553867504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642407496).

2553867504 is an abundant number, since it is smaller than the sum of its proper divisors (4730947488).

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

2553867504 is a wasteful number, since it uses less digits than its factorization.

2553867504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2553867504 is about 50535.8041788196. The cubic root of 2553867504 is about 1366.8875484618.

The spelling of 2553867504 in words is "two billion, five hundred fifty-three million, eight hundred sixty-seven thousand, five hundred four".