2261617664 has 44 divisors (see below), whose sum is σ = 4676985600. Its totient is φ = 1091801088.

The previous prime is 2261617663. The next prime is 2261617703. The reversal of 2261617664 is 4667161622.

It is a happy number.

It is a super-2 number, since 2×2261617664² = 10229828916233633792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2261617663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8384 + ... + 67775.

Almost surely, 2^2261617664 is an apocalyptic number.

It is an amenable number.

2261617664 is an abundant number, since it is smaller than the sum of its proper divisors (2415367936).

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

2261617664 is an equidigital number, since it uses as much as digits as its factorization.

2261617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76208 (or 76190 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 2261617664 is about 47556.4681615445. The cubic root of 2261617664 is about 1312.6221518844.

The spelling of 2261617664 in words is "two billion, two hundred sixty-one million, six hundred seventeen thousand, six hundred sixty-four".