2261459664 has 30 divisors (see below), whose sum is σ = 6328946546. Its totient is φ = 753819840.

The previous prime is 2261459653. The next prime is 2261459689. The reversal of 2261459664 is 4669541622.

2261459664 is a `hidden beast` number, since 22 + 614 + 5 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1935296064 + 326163600 = 43992^2 + 18060^2 .

It is a super-2 number, since 2×2261459664² = 10228399623797985792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7852147 + ... + 7852434.

Almost surely, 2^2261459664 is an apocalyptic number.

2261459664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2261459664 is an abundant number, since it is smaller than the sum of its proper divisors (4067486882).

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

2261459664 is a wasteful number, since it uses less digits than its factorization.

2261459664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704595 (or 15704586 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2261459664 is about 47554.8069494557. The cubic root of 2261459664 is about 1312.5915839222.

The spelling of 2261459664 in words is "two billion, two hundred sixty-one million, four hundred fifty-nine thousand, six hundred sixty-four".