2888383680 has 672 divisors, whose sum is σ = 12461589504. Its totient is φ = 597860352.

The previous prime is 2888383669. The next prime is 2888383681. The reversal of 2888383680 is 863838882.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2888383681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26994187 + ... + 26994293.

It is an arithmetic number, because the mean of its divisors is an integer number (18544032).

Almost surely, 2^2888383680 is an apocalyptic number.

2888383680 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 2888383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230794752).

2888383680 is an abundant number, since it is smaller than the sum of its proper divisors (9573205824).

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

2888383680 is a wasteful number, since it uses less digits than its factorization.

2888383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 2888383680 is about 53743.6850243822. The cubic root of 2888383680 is about 1424.1365332203.

The spelling of 2888383680 in words is "two billion, eight hundred eighty-eight million, three hundred eighty-three thousand, six hundred eighty".