2261361440 has 96 divisors (see below), whose sum is σ = 5851258560. Its totient is φ = 820767744.

The previous prime is 2261361367. The next prime is 2261361451. The reversal of 2261361440 is 441631622.

It is a super-2 number, since 2×2261361440² = 10227511124637747200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113507 + ... + 131933.

It is an arithmetic number, because the mean of its divisors is an integer number (60950610).

Almost surely, 2^2261361440 is an apocalyptic number.

2261361440 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 2261361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925629280).

2261361440 is an abundant number, since it is smaller than the sum of its proper divisors (3589897120).

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

2261361440 is a wasteful number, since it uses less digits than its factorization.

2261361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18514 (or 18506 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2261361440 is about 47553.7741930123. The cubic root of 2261361440 is about 1312.5725799924.

The spelling of 2261361440 in words is "two billion, two hundred sixty-one million, three hundred sixty-one thousand, four hundred forty".