2551946342400 has 3744 divisors, whose sum is σ = 12422221593600. Its totient is φ = 515022520320.

The previous prime is 2551946342389. The next prime is 2551946342443. The reversal of 2551946342400 is 42436491552.

2551946342400 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 9 + 4 + 634 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110954188789 + ... + 110954188811.

Almost surely, 2^{2551946342400} is an apocalyptic number.

2551946342400 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 2551946342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211110796800).

2551946342400 is an abundant number, since it is smaller than the sum of its proper divisors (9870275251200).

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

2551946342400 is an equidigital number, since it uses as much as digits as its factorization.

2551946342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2551946342400 in words is "two trillion, five hundred fifty-one billion, nine hundred forty-six million, three hundred forty-two thousand, four hundred".