2794001680 has 80 divisors (see below), whose sum is σ = 7240250880. Its totient is φ = 996489216.

The previous prime is 2794001647. The next prime is 2794001681. The reversal of 2794001680 is 861004972.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2794001681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28224 + ... + 79903.

It is an arithmetic number, because the mean of its divisors is an integer number (90503136).

Almost surely, 2^2794001680 is an apocalyptic number.

2794001680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2794001680 is an abundant number, since it is smaller than the sum of its proper divisors (4446249200).

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

2794001680 is a wasteful number, since it uses less digits than its factorization.

2794001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108176 (or 108170 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2794001680 is about 52858.3170371513. The cubic root of 2794001680 is about 1408.4525517771.

The spelling of 2794001680 in words is "two billion, seven hundred ninety-four million, one thousand, six hundred eighty".