2251855872000 has 1440 divisors, whose sum is σ = 9594529910784. Its totient is φ = 497221632000.

The previous prime is 2251855871983. The next prime is 2251855872017. The reversal of 2251855872000 is 2785581522.

2251855872000 is a `hidden beast` number, since 2 + 2 + 518 + 55 + 87 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2251855871983) and next prime (2251855872017).

It is a tau number, because it is divible by the number of its divisors (1440).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3999743719 + ... + 3999744281.

Almost surely, 2^{2251855872000} is an apocalyptic number.

2251855872000 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 2251855872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797264955392).

2251855872000 is an abundant number, since it is smaller than the sum of its proper divisors (7342674038784).

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

2251855872000 is an equidigital number, since it uses as much as digits as its factorization.

2251855872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 2251855872000 in words is "two trillion, two hundred fifty-one billion, eight hundred fifty-five million, eight hundred seventy-two thousand".