2261122560 has 160 divisors (see below), whose sum is σ = 8031941280. Its totient is φ = 602947584.

The previous prime is 2261122559. The next prime is 2261122597. The reversal of 2261122560 is 652211622.

2261122560 is a `hidden beast` number, since 22 + 61 + 1 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2261122560² = 10225350462681907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52764 + ... + 85476.

It is an arithmetic number, because the mean of its divisors is an integer number (50199633).

Almost surely, 2^2261122560 is an apocalyptic number.

2261122560 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 2261122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015970640).

2261122560 is an abundant number, since it is smaller than the sum of its proper divisors (5770818720).

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

2261122560 is an equidigital number, since it uses as much as digits as its factorization.

2261122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32745 (or 32723 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2261122560 is about 47551.2624438090. The cubic root of 2261122560 is about 1312.5263602869.

The spelling of 2261122560 in words is "two billion, two hundred sixty-one million, one hundred twenty-two thousand, five hundred sixty".