2260980736 has 66 divisors (see below), whose sum is σ = 5257789098. Its totient is φ = 968970240.

The previous prime is 2260980697. The next prime is 2260980751. The reversal of 2260980736 is 6370890622.

It can be written as a sum of positive squares in only one way, i.e., 2212761600 + 48219136 = 47040^2 + 6944^2 .

It is a super-2 number, since 2×2260980736² = 10224067777126203392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260980692 and 2260980701.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 27646 + ... + 72706.

Almost surely, 2^2260980736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628894549).

2260980736 is an abundant number, since it is smaller than the sum of its proper divisors (2996808362).

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

2260980736 is an equidigital number, since it uses as much as digits as its factorization.

2260980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45095 (or 45070 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2260980736 is about 47549.7711456112. The cubic root of 2260980736 is about 1312.4989179250.

The spelling of 2260980736 in words is "two billion, two hundred sixty million, nine hundred eighty thousand, seven hundred thirty-six".