2288959948800 has 1440 divisors, whose sum is σ = 9955469684160. Its totient is φ = 508811673600.

The previous prime is 2288959948789. The next prime is 2288959948811. The reversal of 2288959948800 is 88499598822.

2288959948800 is a `hidden beast` number, since 2 + 28 + 8 + 9 + 599 + 4 + 8 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2288959948789) and next prime (2288959948811).

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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1074123735 + ... + 1074125865.

It is an arithmetic number, because the mean of its divisors is an integer number (6913520614).

Almost surely, 2^{2288959948800} is an apocalyptic number.

2288959948800 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 2288959948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977734842080).

2288959948800 is an abundant number, since it is smaller than the sum of its proper divisors (7666509735360).

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

2288959948800 is a wasteful number, since it uses less digits than its factorization.

2288959948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 2288959948800 in words is "two trillion, two hundred eighty-eight billion, nine hundred fifty-nine million, nine hundred forty-eight thousand, eight hundred".