2260548864 has 288 divisors, whose sum is σ = 8045184000. Its totient is φ = 611629056.

The previous prime is 2260548853. The next prime is 2260548887. The reversal of 2260548864 is 4688450622.

2260548864 is a `hidden beast` number, since 2 + 26 + 0 + 548 + 86 + 4 = 666.

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

It is a super-2 number, since 2×2260548864² = 10220162333063380992, 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 31 ways as a sum of consecutive naturals, for example, 918067 + ... + 920525.

Almost surely, 2^2260548864 is an apocalyptic number.

2260548864 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 2260548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022592000).

2260548864 is an abundant number, since it is smaller than the sum of its proper divisors (5784635136).

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

2260548864 is a wasteful number, since it uses less digits than its factorization.

2260548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2260548864 is about 47545.2296660769. The cubic root of 2260548864 is about 1312.4153453971.

The spelling of 2260548864 in words is "two billion, two hundred sixty million, five hundred forty-eight thousand, eight hundred sixty-four".