2251466660800 has 252 divisors, whose sum is σ = 6652401939264. Its totient is φ = 747029606400.

The previous prime is 2251466660777. The next prime is 2251466660879. The reversal of 2251466660800 is 80666641522.

2251466660800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1967212 + ... + 2893588.

Almost surely, 2^{2251466660800} is an apocalyptic number.

2251466660800 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 2251466660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326200969632).

2251466660800 is an abundant number, since it is smaller than the sum of its proper divisors (4400935278464).

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

2251466660800 is a wasteful number, since it uses less digits than its factorization.

2251466660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926444 (or 926422 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 2251466660800 in words is "two trillion, two hundred fifty-one billion, four hundred sixty-six million, six hundred sixty thousand, eight hundred".