2260288143360 has 1216 divisors, whose sum is σ = 9195574550400. Its totient is φ = 523650465792.

The previous prime is 2260288143313. The next prime is 2260288143391. The reversal of 2260288143360 is 633418820622.

2260288143360 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 288 + 1 + 4 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 132958126072 + ... + 132958126088.

Almost surely, 2^{2260288143360} is an apocalyptic number.

2260288143360 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 2260288143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597787275200).

2260288143360 is an abundant number, since it is smaller than the sum of its proper divisors (6935286407040).

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

2260288143360 is an frugal number, since it uses more digits than its factorization.

2260288143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2260288143360 in words is "two trillion, two hundred sixty billion, two hundred eighty-eight million, one hundred forty-three thousand, three hundred sixty".