2262653740944 has 135 divisors (see below), whose sum is σ = 6399621821073. Its totient is φ = 746281691136.

The previous prime is 2262653740903. The next prime is 2262653740999. The reversal of 2262653740944 is 4490473562622.

The square root of 2262653740944 is 1504212.

It is a perfect power (a square), and thus also a powerful number.

2262653740944 is a `hidden beast` number, since 2 + 2 + 6 + 26 + 537 + 40 + 9 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 759303104400 + 1503350636544 = 871380^2 + 1226112^2 .

It is a super-2 number, since 2×2262653740944² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1859205424 + ... + 1859206640.

Almost surely, 2^{2262653740944} is an apocalyptic number.

2262653740944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2262653740944 is the 1504212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262653740944

2262653740944 is an abundant number, since it is smaller than the sum of its proper divisors (4136968080129).

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

2262653740944 is an equidigital number, since it uses as much as digits as its factorization.

2262653740944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2262653740944 in words is "two trillion, two hundred sixty-two billion, six hundred fifty-three million, seven hundred forty thousand, nine hundred forty-four".