2288785968 has 120 divisors (see below), whose sum is σ = 7499165856. Its totient is φ = 637977600.

The previous prime is 2288785957. The next prime is 2288785987. The reversal of 2288785968 is 8695878822.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13638 + ... + 69018.

Almost surely, 2^2288785968 is an apocalyptic number.

2288785968 is a gapful number since it is divisible by the number (28) 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 2288785968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749582928).

2288785968 is an abundant number, since it is smaller than the sum of its proper divisors (5210379888).

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

2288785968 is a wasteful number, since it uses less digits than its factorization.

2288785968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55443 (or 55434 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The square root of 2288785968 is about 47841.2580102154. The cubic root of 2288785968 is about 1317.8573226997.

The spelling of 2288785968 in words is "two billion, two hundred eighty-eight million, seven hundred eighty-five thousand, nine hundred sixty-eight".