2290786560 has 216 divisors, whose sum is σ = 8200384920. Its totient is φ = 589725696.

The previous prime is 2290786541. The next prime is 2290786573. The reversal of 2290786560 is 656870922.

2290786560 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 7 + 86 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 2290196736 = 768^2 + 47856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330652 + ... + 337508.

It is an arithmetic number, because the mean of its divisors is an integer number (37964745).

Almost surely, 2^2290786560 is an apocalyptic number.

2290786560 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 2290786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100192460).

2290786560 is an abundant number, since it is smaller than the sum of its proper divisors (5909598360).

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

2290786560 is a wasteful number, since it uses less digits than its factorization.

2290786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2290786560 is about 47862.1620907372. The cubic root of 2290786560 is about 1318.2411837005.

The spelling of 2290786560 in words is "two billion, two hundred ninety million, seven hundred eighty-six thousand, five hundred sixty".