2261282304 has 80 divisors (see below), whose sum is σ = 6063214608. Its totient is φ = 748879872.

The previous prime is 2261282299. The next prime is 2261282311. The reversal of 2261282304 is 4032821622.

It is a super-2 number, since 2×2261282304² = 10226795316767096832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 236464 + ... + 245840.

Almost surely, 2^2261282304 is an apocalyptic number.

2261282304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031607304).

2261282304 is an abundant number, since it is smaller than the sum of its proper divisors (3801932304).

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

2261282304 is an equidigital number, since it uses as much as digits as its factorization.

2261282304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2261282304 is about 47552.9421171814. The cubic root of 2261282304 is about 1312.5572687211.

The spelling of 2261282304 in words is "two billion, two hundred sixty-one million, two hundred eighty-two thousand, three hundred four".