2551024400 has 60 divisors (see below), whose sum is σ = 6141101364. Its totient is φ = 1018368000.

The previous prime is 2551024363. The next prime is 2551024423. The reversal of 2551024400 is 44201552.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 350288656 + 2200735744 = 18716^2 + 46912^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 202280 + ... + 214520.

Almost surely, 2^2551024400 is an apocalyptic number.

2551024400 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 2551024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070550682).

2551024400 is an abundant number, since it is smaller than the sum of its proper divisors (3590076964).

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

2551024400 is a wasteful number, since it uses less digits than its factorization.

2551024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2551024400 is about 50507.6667447626. Note that the first 3 decimals coincide. The cubic root of 2551024400 is about 1366.3801289691.

Adding to 2551024400 its reverse (44201552), we get a palindrome (2595225952).

The spelling of 2551024400 in words is "two billion, five hundred fifty-one million, twenty-four thousand, four hundred".