2888671680 has 224 divisors, whose sum is σ = 10229575680. Its totient is φ = 767370240.

The previous prime is 2888671663. The next prime is 2888671691. The reversal of 2888671680 is 861768882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3170425 + ... + 3171335.

Almost surely, 2^2888671680 is an apocalyptic number.

2888671680 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 2888671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114787840).

2888671680 is an abundant number, since it is smaller than the sum of its proper divisors (7340904000).

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

2888671680 is a wasteful number, since it uses less digits than its factorization.

2888671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 2888671680 is about 53746.3643421581. The cubic root of 2888671680 is about 1424.1838650773.

The spelling of 2888671680 in words is "two billion, eight hundred eighty-eight million, six hundred seventy-one thousand, six hundred eighty".