2551002400 has 144 divisors (see below), whose sum is σ = 6652074240. Its totient is φ = 953164800.

The previous prime is 2551002379. The next prime is 2551002437. The reversal of 2551002400 is 42001552.

It is a super-2 number, since 2×2551002400² = 13015226489611520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717427 + ... + 720973.

It is an arithmetic number, because the mean of its divisors is an integer number (46194960).

Almost surely, 2^2551002400 is an apocalyptic number.

2551002400 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 2551002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326037120).

2551002400 is an abundant number, since it is smaller than the sum of its proper divisors (4101071840).

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

2551002400 is a wasteful number, since it uses less digits than its factorization.

2551002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2551002400 is about 50507.4489555749. The cubic root of 2551002400 is about 1366.3762010766.

Adding to 2551002400 its reverse (42001552), we get a palindrome (2593003952).

The spelling of 2551002400 in words is "two billion, five hundred fifty-one million, two thousand, four hundred".