2260896144 has 160 divisors (see below), whose sum is σ = 6575412480. Its totient is φ = 664602624.

The previous prime is 2260896091. The next prime is 2260896151. The reversal of 2260896144 is 4416980622.

It is a super-2 number, since 2×2260896144² = 10223302747908137472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260896096 and 2260896105.

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 31 ways as a sum of consecutive naturals, for example, 1863282 + ... + 1864494.

It is an arithmetic number, because the mean of its divisors is an integer number (41096328).

Almost surely, 2^2260896144 is an apocalyptic number.

2260896144 is a gapful number since it is divisible by the number (24) 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 2260896144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287706240).

2260896144 is an abundant number, since it is smaller than the sum of its proper divisors (4314516336).

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

2260896144 is a wasteful number, since it uses less digits than its factorization.

2260896144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2260896144 is about 47548.8816272265. The cubic root of 2260896144 is about 1312.4825491739.

The spelling of 2260896144 in words is "two billion, two hundred sixty million, eight hundred ninety-six thousand, one hundred forty-four".