2551142400 has 288 divisors, whose sum is σ = 8938959120. Its totient is φ = 639631360.

The previous prime is 2551142387. The next prime is 2551142401. The reversal of 2551142400 is 42411552.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551142401) 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, 2610712 + ... + 2611688.

Almost surely, 2^2551142400 is an apocalyptic number.

2551142400 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 2551142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469479560).

2551142400 is an abundant number, since it is smaller than the sum of its proper divisors (6387816720).

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

2551142400 is a wasteful number, since it uses less digits than its factorization.

2551142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2551142400 is about 50508.8348707432. The cubic root of 2551142400 is about 1366.4011963711.

Adding to 2551142400 its reverse (42411552), we get a palindrome (2593553952).

The spelling of 2551142400 in words is "two billion, five hundred fifty-one million, one hundred forty-two thousand, four hundred".