2260894464 has 288 divisors, whose sum is σ = 7205345280. Its totient is φ = 696729600.

The previous prime is 2260894453. The next prime is 2260894469. The reversal of 2260894464 is 4644980622.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2260894464² = 10223287554691694592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260894469) 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, 8342649 + ... + 8342919.

It is an arithmetic number, because the mean of its divisors is an integer number (25018560).

Almost surely, 2^2260894464 is an apocalyptic number.

2260894464 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 2260894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602672640).

2260894464 is an abundant number, since it is smaller than the sum of its proper divisors (4944450816).

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

2260894464 is a wasteful number, since it uses less digits than its factorization.

2260894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2260894464 is about 47548.8639611926. The cubic root of 2260894464 is about 1312.4822240858.

The spelling of 2260894464 in words is "two billion, two hundred sixty million, eight hundred ninety-four thousand, four hundred sixty-four".