2261607732 has 36 divisors (see below), whose sum is σ = 5824711620. Its totient is φ = 739644672.

The previous prime is 2261607731. The next prime is 2261607739. The reversal of 2261607732 is 2377061622.

It is a happy number.

2261607732 is a `hidden beast` number, since 2 + 2 + 616 + 0 + 7 + 7 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1638306576 + 623301156 = 40476^2 + 24966^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2261607732² = 10229739066884367648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261607731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590757 + ... + 594572.

It is an arithmetic number, because the mean of its divisors is an integer number (161797545).

Almost surely, 2^2261607732 is an apocalyptic number.

It is an amenable number.

2261607732 is an abundant number, since it is smaller than the sum of its proper divisors (3563103888).

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

2261607732 is a wasteful number, since it uses less digits than its factorization.

2261607732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185392 (or 1185387 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2261607732 is about 47556.3637382002. The cubic root of 2261607732 is about 1312.6202304010.

The spelling of 2261607732 in words is "two billion, two hundred sixty-one million, six hundred seven thousand, seven hundred thirty-two".