2999683104768 has 180 divisors, whose sum is σ = 9903416817840. Its totient is φ = 857052020736.

The previous prime is 2999683104767. The next prime is 2999683104823. The reversal of 2999683104768 is 8674013869992.

2999683104768 is a `hidden beast` number, since 2 + 9 + 99 + 68 + 3 + 1 + 0 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2999683104696 and 2999683104705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2999683104767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420873 + ... + 2485256.

Almost surely, 2^{2999683104768} is an apocalyptic number.

2999683104768 is a gapful number since it is divisible by the number (28) 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 2999683104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951708408920).

2999683104768 is an abundant number, since it is smaller than the sum of its proper divisors (6903733713072).

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

2999683104768 is an equidigital number, since it uses as much as digits as its factorization.

2999683104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906170 (or 2906141 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 2999683104768 in words is "two trillion, nine hundred ninety-nine billion, six hundred eighty-three million, one hundred four thousand, seven hundred sixty-eight".