2889313680 has 80 divisors (see below), whose sum is σ = 9771142464. Its totient is φ = 700439040.

The previous prime is 2889313649. The next prime is 2889313681. The reversal of 2889313680 is 863139882.

2889313680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2889313681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544579 + ... + 549858.

Almost surely, 2^2889313680 is an apocalyptic number.

2889313680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2889313680 is an abundant number, since it is smaller than the sum of its proper divisors (6881828784).

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

2889313680 is a wasteful number, since it uses less digits than its factorization.

2889313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094464 (or 1094458 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2889313680 is about 53752.3365073557. The cubic root of 2889313680 is about 1424.2893643535.

The spelling of 2889313680 in words is "two billion, eight hundred eighty-nine million, three hundred thirteen thousand, six hundred eighty".