2563142400 has 864 divisors, whose sum is σ = 11638699520. Its totient is φ = 537477120.

The previous prime is 2563142383. The next prime is 2563142423. The reversal of 2563142400 is 42413652.

2563142400 is a `hidden beast` number, since 2 + 5 + 631 + 4 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724719 + ... + 15724881.

Almost surely, 2^2563142400 is an apocalyptic number.

2563142400 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 2563142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819349760).

2563142400 is an abundant number, since it is smaller than the sum of its proper divisors (9075557120).

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

2563142400 is a wasteful number, since it uses less digits than its factorization.

2563142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2563142400 is about 50627.4866055980. The cubic root of 2563142400 is about 1368.5402606002.

The spelling of 2563142400 in words is "two billion, five hundred sixty-three million, one hundred forty-two thousand, four hundred".