2260988961 has 32 divisors (see below), whose sum is σ = 3956352000. Its totient is φ = 1112719680.

The previous prime is 2260988921. The next prime is 2260988969. The reversal of 2260988961 is 1698890622.

It is not a de Polignac number, because 2260988961 - 2¹⁴ = 2260972577 is a prime.

It is a super-2 number, since 2×2260988961² = 10224142163527719042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260988969) 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, 253186 + ... + 261963.

It is an arithmetic number, because the mean of its divisors is an integer number (123636000).

Almost surely, 2^2260988961 is an apocalyptic number.

2260988961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2260988961 is a deficient number, since it is larger than the sum of its proper divisors (1695363039).

2260988961 is a wasteful number, since it uses less digits than its factorization.

2260988961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515189.

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 2260988961 is about 47549.8576338563. The cubic root of 2260988961 is about 1312.5005094601.

The spelling of 2260988961 in words is "two billion, two hundred sixty million, nine hundred eighty-eight thousand, nine hundred sixty-one".