2649768861220 has 48 divisors (see below), whose sum is σ = 6000730006320. Its totient is φ = 977041368576.

The previous prime is 2649768861161. The next prime is 2649768861221. The reversal of 2649768861220 is 221688679462.

It can be written as a sum of positive squares in 8 ways, for example, as 45683077696 + 2604085783524 = 213736^2 + 1613718^2 .

It is a super-2 number, since 2×2649768861220² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2649768861221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6761275 + ... + 7142434.

It is an arithmetic number, because the mean of its divisors is an integer number (125015208465).

Almost surely, 2^{2649768861220} is an apocalyptic number.

2649768861220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2649768861220 is an abundant number, since it is smaller than the sum of its proper divisors (3350961145100).

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

2649768861220 is a wasteful number, since it uses less digits than its factorization.

2649768861220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13904464 (or 13904462 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 2649768861220 in words is "two trillion, six hundred forty-nine billion, seven hundred sixty-eight million, eight hundred sixty-one thousand, two hundred twenty".