2693798016 has 256 divisors, whose sum is σ = 8890613760. Its totient is φ = 703696896.

The previous prime is 2693797991. The next prime is 2693798021. The reversal of 2693798016 is 6108973962.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2693798016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4437585 + ... + 4438191.

It is an arithmetic number, because the mean of its divisors is an integer number (34728960).

Almost surely, 2^2693798016 is an apocalyptic number.

2693798016 is a gapful number since it is divisible by the number (26) 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 2693798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445306880).

2693798016 is an abundant number, since it is smaller than the sum of its proper divisors (6196815744).

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

2693798016 is a wasteful number, since it uses less digits than its factorization.

2693798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 2693798016 is about 51901.8112978728. The cubic root of 2693798016 is about 1391.4096452897.

The spelling of 2693798016 in words is "two billion, six hundred ninety-three million, seven hundred ninety-eight thousand, sixteen".