2551240424400 has 120 divisors (see below), whose sum is σ = 8183358505344. Its totient is φ = 679424640000.

The previous prime is 2551240424351. The next prime is 2551240424429. The reversal of 2551240424400 is 44240421552.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514269 + ... + 2316668.

Almost surely, 2^{2551240424400} is an apocalyptic number.

2551240424400 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 2551240424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091679252672).

2551240424400 is an abundant number, since it is smaller than the sum of its proper divisors (5632118080944).

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

2551240424400 is a wasteful number, since it uses less digits than its factorization.

2551240424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831709 (or 2831698 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 2551240424400 its reverse (44240421552), we get a palindrome (2595480845952).

The spelling of 2551240424400 in words is "two trillion, five hundred fifty-one billion, two hundred forty million, four hundred twenty-four thousand, four hundred".