2551047840000 has 945 divisors, whose sum is σ = 10110300411211. Its totient is φ = 618435840000.

The previous prime is 2551047839987. The next prime is 2551047840037. The reversal of 2551047840000 is 487401552.

The square root of 2551047840000 is 1597200.

It is a perfect power (a square), and thus also a powerful number.

2551047840000 is a `hidden beast` number, since 25 + 510 + 47 + 84 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200002150656 + 2351045689344 = 447216^2 + 1533312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 104 ways as a sum of consecutive naturals, for example, 231913439995 + ... + 231913440005.

Almost surely, 2^{2551047840000} is an apocalyptic number.

2551047840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2551047840000 is the 1597200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551047840000

2551047840000 is an abundant number, since it is smaller than the sum of its proper divisors (7559252571211).

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

2551047840000 is an frugal number, since it uses more digits than its factorization.

2551047840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Multiplying 2551047840000 by its sum of digits (36), we get a square (91837722240000 = 9583200²).

2551047840000 divided by its sum of digits (36) gives a square (70862440000 = 266200²).

The spelling of 2551047840000 in words is "two trillion, five hundred fifty-one billion, forty-seven million, eight hundred forty thousand".