2261302072720 has 40 divisors (see below), whose sum is σ = 5257740146040. Its totient is φ = 904484213760.

The previous prime is 2261302072703. The next prime is 2261302072741. The reversal of 2261302072720 is 272702031622.

It can be written as a sum of positive squares in 4 ways, for example, as 15572044944 + 2245730027776 = 124788^2 + 1498576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2261302072720² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1461396 + ... + 2580364.

It is an arithmetic number, because the mean of its divisors is an integer number (131443503651).

Almost surely, 2^{2261302072720} is an apocalyptic number.

2261302072720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261302072720 is an abundant number, since it is smaller than the sum of its proper divisors (2996438073320).

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

2261302072720 is a wasteful number, since it uses less digits than its factorization.

2261302072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144243 (or 1144237 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 2261302072720 in words is "two trillion, two hundred sixty-one billion, three hundred two million, seventy-two thousand, seven hundred twenty".