2261110540 has 48 divisors (see below), whose sum is σ = 5153928192. Its totient is φ = 828285696.

The previous prime is 2261110531. The next prime is 2261110547. The reversal of 2261110540 is 450111622.

It is a super-2 number, since 2×2261110540² = 10225241748198183200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261110547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219 + ... + 67258.

It is an arithmetic number, because the mean of its divisors is an integer number (107373504).

Almost surely, 2^2261110540 is an apocalyptic number.

2261110540 is a gapful number since it is divisible by the number (20) 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 2261110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576964096).

2261110540 is an abundant number, since it is smaller than the sum of its proper divisors (2892817652).

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

2261110540 is a wasteful number, since it uses less digits than its factorization.

2261110540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68626 (or 68624 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 2261110540 is about 47551.1360537264. The cubic root of 2261110540 is about 1312.5240345107.

The spelling of 2261110540 in words is "two billion, two hundred sixty-one million, one hundred ten thousand, five hundred forty".