2284870533120 has 1536 divisors, whose sum is σ = 9639370137600. Its totient is φ = 511901171712.

The previous prime is 2284870533083. The next prime is 2284870533151. The reversal of 2284870533120 is 213350784822.

2284870533120 is a `hidden beast` number, since 2 + 2 + 8 + 48 + 70 + 533 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17991106497 + ... + 17991106623.

It is an arithmetic number, because the mean of its divisors is an integer number (6275631600).

Almost surely, 2^{2284870533120} is an apocalyptic number.

2284870533120 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 2284870533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819685068800).

2284870533120 is an abundant number, since it is smaller than the sum of its proper divisors (7354499604480).

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

2284870533120 is an equidigital number, since it uses as much as digits as its factorization.

2284870533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2284870533120 in words is "two trillion, two hundred eighty-four billion, eight hundred seventy million, five hundred thirty-three thousand, one hundred twenty".