2563117200 has 720 divisors, whose sum is σ = 11168142336. Its totient is φ = 530841600.

The previous prime is 2563117069. The next prime is 2563117201. The reversal of 2563117200 is 27113652.

It is a happy number.

2563117200 is a `hidden beast` number, since 2 + 5 + 631 + 1 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (2563117201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13280304 + ... + 13280496.

Almost surely, 2^2563117200 is an apocalyptic number.

2563117200 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 2563117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584071168).

2563117200 is an abundant number, since it is smaller than the sum of its proper divisors (8605025136).

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

2563117200 is a wasteful number, since it uses less digits than its factorization.

2563117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2563117200 is about 50627.2377283217. The cubic root of 2563117200 is about 1368.5357755682.

The spelling of 2563117200 in words is "two billion, five hundred sixty-three million, one hundred seventeen thousand, two hundred".