2261682720 has 576 divisors, whose sum is σ = 9196177536. Its totient is φ = 499875840.

The previous prime is 2261682707. The next prime is 2261682743. The reversal of 2261682720 is 272861622.

2261682720 is a `hidden beast` number, since 226 + 168 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9963247 + ... + 9963473.

It is an arithmetic number, because the mean of its divisors is an integer number (15965586).

Almost surely, 2^2261682720 is an apocalyptic number.

2261682720 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 2261682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598088768).

2261682720 is an abundant number, since it is smaller than the sum of its proper divisors (6934494816).

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

2261682720 is a wasteful number, since it uses less digits than its factorization.

2261682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2261682720 is about 47557.1521434999. The cubic root of 2261682720 is about 1312.6347377323.

The spelling of 2261682720 in words is "two billion, two hundred sixty-one million, six hundred eighty-two thousand, seven hundred twenty".