2264215761 has 40 divisors (see below), whose sum is σ = 3438723200. Its totient is φ = 1484477280.

The previous prime is 2264215739. The next prime is 2264215787. The reversal of 2264215761 is 1675124622.

It is a happy number.

2264215761 is a `hidden beast` number, since 2 + 2 + 64 + 21 + 576 + 1 = 666.

It is not a de Polignac number, because 2264215761 - 2⁷ = 2264215633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2264215711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2117535 + ... + 2118603.

It is an arithmetic number, because the mean of its divisors is an integer number (85968080).

Almost surely, 2^2264215761 is an apocalyptic number.

It is an amenable number.

2264215761 is a deficient number, since it is larger than the sum of its proper divisors (1174507439).

2264215761 is a wasteful number, since it uses less digits than its factorization.

2264215761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1482 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2264215761 is about 47583.7762372849. The cubic root of 2264215761 is about 1313.1245967585.

The spelling of 2264215761 in words is "two billion, two hundred sixty-four million, two hundred fifteen thousand, seven hundred sixty-one".