2296985760 has 144 divisors (see below), whose sum is σ = 7874114976. Its totient is φ = 609744384.

The previous prime is 2296985737. The next prime is 2296985771. The reversal of 2296985760 is 675896922.

2296985760 is a `hidden beast` number, since 2 + 2 + 9 + 69 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2296985760² = 10552287163285555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2296985697 and 2296985706.

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, 323367 + ... + 330393.

It is an arithmetic number, because the mean of its divisors is an integer number (54681354).

Almost surely, 2^2296985760 is an apocalyptic number.

2296985760 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 2296985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937057488).

2296985760 is an abundant number, since it is smaller than the sum of its proper divisors (5577129216).

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

2296985760 is a wasteful number, since it uses less digits than its factorization.

2296985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2296985760 is about 47926.8793058759. The cubic root of 2296985760 is about 1319.4292298176.

The spelling of 2296985760 in words is "two billion, two hundred ninety-six million, nine hundred eighty-five thousand, seven hundred sixty".