2260948872 has 128 divisors (see below), whose sum is σ = 6999552000. Its totient is φ = 592627968.

The previous prime is 2260948817. The next prime is 2260948883. The reversal of 2260948872 is 2788490622.

It is a super-2 number, since 2×2260948872² = 10223779603596144768, which contains 22 as substring.

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, 361629 + ... + 367827.

It is an arithmetic number, because the mean of its divisors is an integer number (54684000).

Almost surely, 2^2260948872 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 2260948872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776000).

2260948872 is an abundant number, since it is smaller than the sum of its proper divisors (4738603128).

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

2260948872 is a wasteful number, since it uses less digits than its factorization.

2260948872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2260948872 is about 47549.4360849842. The cubic root of 2260948872 is about 1312.4927522139.

The spelling of 2260948872 in words is "two billion, two hundred sixty million, nine hundred forty-eight thousand, eight hundred seventy-two".