2261330304 has 32 divisors (see below), whose sum is σ = 6006659640. Its totient is φ = 753776640.

The previous prime is 2261330299. The next prime is 2261330339. The reversal of 2261330304 is 4030331622.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2261330304² = 10227229487577464832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 3 ways as a sum of consecutive naturals, for example, 2944057 + ... + 2944824.

Almost surely, 2^2261330304 is an apocalyptic number.

2261330304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2261330304 is an abundant number, since it is smaller than the sum of its proper divisors (3745329336).

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

2261330304 is an equidigital number, since it uses as much as digits as its factorization.

2261330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888898 (or 5888886 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2261330304 is about 47553.4468151363. The cubic root of 2261330304 is about 1312.5665558268.

Adding to 2261330304 its reverse (4030331622), we get a palindrome (6291661926).

The spelling of 2261330304 in words is "two billion, two hundred sixty-one million, three hundred thirty thousand, three hundred four".