2261934720 has 160 divisors (see below), whose sum is σ = 8077962420. Its totient is φ = 603168768.

The previous prime is 2261934713. The next prime is 2261934749. The reversal of 2261934720 is 274391622.

2261934720 is a `hidden beast` number, since 2 + 2 + 619 + 34 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2183505984 + 78428736 = 46728^2 + 8856^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30024 + ... + 73656.

Almost surely, 2^2261934720 is an apocalyptic number.

2261934720 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 2261934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038981210).

2261934720 is an abundant number, since it is smaller than the sum of its proper divisors (5816027700).

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

2261934720 is an equidigital number, since it uses as much as digits as its factorization.

2261934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43664 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2261934720 is about 47559.8015134630. The cubic root of 2261934720 is about 1312.6834878166.

The spelling of 2261934720 in words is "two billion, two hundred sixty-one million, nine hundred thirty-four thousand, seven hundred twenty".