2283893246880 has 288 divisors, whose sum is σ = 8921881672704. Its totient is φ = 521171324928.

The previous prime is 2283893246879. The next prime is 2283893246959. The reversal of 2283893246880 is 886423983822.

2283893246880 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 8 + 93 + 2 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 5931924 + ... + 6305196.

It is an arithmetic number, because the mean of its divisors is an integer number (30978755808).

Almost surely, 2^{2283893246880} is an apocalyptic number.

2283893246880 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 2283893246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460940836352).

2283893246880 is an abundant number, since it is smaller than the sum of its proper divisors (6637988425824).

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

2283893246880 is a wasteful number, since it uses less digits than its factorization.

2283893246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373908 (or 373897 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 2283893246880 in words is "two trillion, two hundred eighty-three billion, eight hundred ninety-three million, two hundred forty-six thousand, eight hundred eighty".