2260864 has 32 divisors (see below), whose sum is σ = 4773600. Its totient is φ = 1062912.

The previous prime is 2260859. The next prime is 2260879. The reversal of 2260864 is 4680622.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2260864² = 10223012052992, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁹ + 6⁵ + 0 + 8⁵ + 6⁸ + 4⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1657 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

2^2260864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386800).

2260864 is an abundant number, since it is smaller than the sum of its proper divisors (2512736).

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

2260864 is a wasteful number, since it uses less digits than its factorization.

2260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2260864 is about 1503.6169725033. The cubic root of 2260864 is about 131.2476329127.

The spelling of 2260864 in words is "two million, two hundred sixty thousand, eight hundred sixty-four".