2261289560 has 96 divisors (see below), whose sum is σ = 5410962000. Its totient is φ = 850348800.

The previous prime is 2261289539. The next prime is 2261289623. The reversal of 2261289560 is 659821622.

It is a super-2 number, since 2×2261289560² = 10226860948329987200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2151035 + ... + 2152085.

Almost surely, 2^2261289560 is an apocalyptic number.

2261289560 is a gapful number since it is divisible by the number (20) 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 2261289560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705481000).

2261289560 is an abundant number, since it is smaller than the sum of its proper divisors (3149672440).

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

2261289560 is a wasteful number, since it uses less digits than its factorization.

2261289560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 2261289560 is about 47553.0184110325. The cubic root of 2261289560 is about 1312.5586726303.

The spelling of 2261289560 in words is "two billion, two hundred sixty-one million, two hundred eighty-nine thousand, five hundred sixty".