2261157591 has 32 divisors (see below), whose sum is σ = 3797595648. Its totient is φ = 1162506240.

The previous prime is 2261157589. The next prime is 2261157593. The reversal of 2261157591 is 1957511622.

2261157591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2261157589) and next prime (2261157593).

It is not a de Polignac number, because 2261157591 - 2¹ = 2261157589 is a prime.

It is a super-2 number, since 2×2261157591² = 10225667302673846562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261157593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28050 + ... + 72863.

It is an arithmetic number, because the mean of its divisors is an integer number (118674864).

Almost surely, 2^2261157591 is an apocalyptic number.

2261157591 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2261157591 is a deficient number, since it is larger than the sum of its proper divisors (1536438057).

2261157591 is a wasteful number, since it uses less digits than its factorization.

2261157591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101031.

The product of its digits is 37800, while the sum is 39.

The square root of 2261157591 is about 47551.6307922242. The cubic root of 2261157591 is about 1312.5331384649.

The spelling of 2261157591 in words is "two billion, two hundred sixty-one million, one hundred fifty-seven thousand, five hundred ninety-one".