2553249600 has 588 divisors, whose sum is σ = 10327538400. Its totient is φ = 615859200.

The previous prime is 2553249563. The next prime is 2553249607. The reversal of 2553249600 is 69423552.

2553249600 = T₂₉₆ + T₂₉₇ + ... + T₂₄₈₄.

2553249600 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 2 + 49 + 600 = 666.

2553249600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553249607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12830301 + ... + 12830499.

Almost surely, 2^2553249600 is an apocalyptic number.

2553249600 is a gapful number since it is divisible by the number (20) 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 2553249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163769200).

2553249600 is an abundant number, since it is smaller than the sum of its proper divisors (7774288800).

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

2553249600 is a wasteful number, since it uses less digits than its factorization.

2553249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2553249600 is about 50529.6902820510. The cubic root of 2553249600 is about 1366.7773008461. Note that the first 3 decimals are identical.

The spelling of 2553249600 in words is "two billion, five hundred fifty-three million, two hundred forty-nine thousand, six hundred".