2292766560 has 480 divisors, whose sum is σ = 9367142400. Its totient is φ = 517321728.

The previous prime is 2292766517. The next prime is 2292766561. The reversal of 2292766560 is 656672922.

2292766560 is a `hidden beast` number, since 2 + 2 + 9 + 27 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292766561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11521341 + ... + 11521539.

It is an arithmetic number, because the mean of its divisors is an integer number (19514880).

Almost surely, 2^2292766560 is an apocalyptic number.

2292766560 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 2292766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683571200).

2292766560 is an abundant number, since it is smaller than the sum of its proper divisors (7074375840).

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

2292766560 is a wasteful number, since it uses less digits than its factorization.

2292766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2292766560 is about 47882.8420209160. The cubic root of 2292766560 is about 1318.6208736503.

The spelling of 2292766560 in words is "two billion, two hundred ninety-two million, seven hundred sixty-six thousand, five hundred sixty".