2261466500 has 24 divisors (see below), whose sum is σ = 4939043928. Its totient is φ = 904586400.

The previous prime is 2261466443. The next prime is 2261466527. The reversal of 2261466500 is 56641622.

It can be written as a sum of positive squares in 4 ways, for example, as 256576324 + 2004890176 = 16018^2 + 44776^2 .

It is a super-2 number, since 2×2261466500² = 10228461461244500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260967 + ... + 2261966.

It is an arithmetic number, because the mean of its divisors is an integer number (205793497).

Almost surely, 2^2261466500 is an apocalyptic number.

2261466500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261466500 is an abundant number, since it is smaller than the sum of its proper divisors (2677577428).

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

2261466500 is a wasteful number, since it uses less digits than its factorization.

2261466500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522952 (or 4522940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2261466500 is about 47554.8788243646. The cubic root of 2261466500 is about 1312.5929064997.

The spelling of 2261466500 in words is "two billion, two hundred sixty-one million, four hundred sixty-six thousand, five hundred".