2768993249280 has 576 divisors, whose sum is σ = 9714888368640. Its totient is φ = 672478003200.

The previous prime is 2768993249279. The next prime is 2768993249327. The reversal of 2768993249280 is 829423998672.

It is a super-2 number, since 2×2768993249280² (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 47 ways as a sum of consecutive naturals, for example, 275215450 + ... + 275225510.

It is an arithmetic number, because the mean of its divisors is an integer number (16866125640).

Almost surely, 2^{2768993249280} is an apocalyptic number.

2768993249280 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 2768993249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857444184320).

2768993249280 is an abundant number, since it is smaller than the sum of its proper divisors (6945895119360).

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

2768993249280 is a wasteful number, since it uses less digits than its factorization.

2768993249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 2768993249280 in words is "two trillion, seven hundred sixty-eight billion, nine hundred ninety-three million, two hundred forty-nine thousand, two hundred eighty".