2261556320 has 48 divisors (see below), whose sum is σ = 5624141040. Its totient is φ = 857009664.

The previous prime is 2261556313. The next prime is 2261556343. The reversal of 2261556320 is 236551622.

It is a super-2 number, since 2×2261556320² = 10229273977063884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 368927 + ... + 375006.

It is an arithmetic number, because the mean of its divisors is an integer number (117169605).

Almost surely, 2^2261556320 is an apocalyptic number.

2261556320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261556320 is an abundant number, since it is smaller than the sum of its proper divisors (3362584720).

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

2261556320 is a wasteful number, since it uses less digits than its factorization.

2261556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743967 (or 743959 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2261556320 is about 47555.8231975854. The cubic root of 2261556320 is about 1312.6102839454.

The spelling of 2261556320 in words is "two billion, two hundred sixty-one million, five hundred fifty-six thousand, three hundred twenty".