2551142304 has 144 divisors (see below), whose sum is σ = 7727717088. Its totient is φ = 827304192.

The previous prime is 2551142291. The next prime is 2551142311. The reversal of 2551142304 is 4032411552.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 283279 + ... + 292145.

It is an arithmetic number, because the mean of its divisors is an integer number (53664702).

Almost surely, 2^2551142304 is an apocalyptic number.

2551142304 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 2551142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863858544).

2551142304 is an abundant number, since it is smaller than the sum of its proper divisors (5176574784).

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

2551142304 is an equidigital number, since it uses as much as digits as its factorization.

2551142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2551142304 is about 50508.8339204144. The cubic root of 2551142304 is about 1366.4011792318.

Adding to 2551142304 its reverse (4032411552), we get a palindrome (6583553856).

The spelling of 2551142304 in words is "two billion, five hundred fifty-one million, one hundred forty-two thousand, three hundred four".