2280859891200 has 1440 divisors, whose sum is σ = 9155775492864. Its totient is φ = 537600000000.

The previous prime is 2280859891183. The next prime is 2280859891223. The reversal of 2280859891200 is 21989580822.

It is a happy number.

2280859891200 is a `hidden beast` number, since 2 + 28 + 0 + 8 + 598 + 9 + 1 + 20 + 0 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9087091075 + ... + 9087091325.

Almost surely, 2^{2280859891200} is an apocalyptic number.

2280859891200 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 2280859891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577887746432).

2280859891200 is an abundant number, since it is smaller than the sum of its proper divisors (6874915601664).

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

2280859891200 is a wasteful number, since it uses less digits than its factorization.

2280859891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 2280859891200 in words is "two trillion, two hundred eighty billion, eight hundred fifty-nine million, eight hundred ninety-one thousand, two hundred".