2251886551200 has 1152 divisors, whose sum is σ = 10072005350400. Its totient is φ = 477384192000.

The previous prime is 2251886551157. The next prime is 2251886551217. The reversal of 2251886551200 is 21556881522.

2251886551200 is a `hidden beast` number, since 2 + 2 + 5 + 18 + 86 + 551 + 2 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 58668015 + ... + 58706385.

It is an arithmetic number, because the mean of its divisors is an integer number (8743060200).

Almost surely, 2^{2251886551200} is an apocalyptic number.

2251886551200 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 2251886551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036002675200).

2251886551200 is an abundant number, since it is smaller than the sum of its proper divisors (7820118799200).

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

2251886551200 is a wasteful number, since it uses less digits than its factorization.

2251886551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38443 (or 38424 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 2251886551200 in words is "two trillion, two hundred fifty-one billion, eight hundred eighty-six million, five hundred fifty-one thousand, two hundred".