2839639680 has 576 divisors, whose sum is σ = 11060431200. Its totient is φ = 694241280.

The previous prime is 2839639669. The next prime is 2839639681. The reversal of 2839639680 is 869369382.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2839639681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91601265 + ... + 91601295.

Almost surely, 2^2839639680 is an apocalyptic number.

2839639680 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 2839639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530215600).

2839639680 is an abundant number, since it is smaller than the sum of its proper divisors (8220791520).

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

2839639680 is an equidigital number, since it uses as much as digits as its factorization.

2839639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2839639680 is about 53288.2696285027. The cubic root of 2839639680 is about 1416.0798576048.

The spelling of 2839639680 in words is "two billion, eight hundred thirty-nine million, six hundred thirty-nine thousand, six hundred eighty".