2139840864 has 288 divisors, whose sum is σ = 7621024320. Its totient is φ = 555319296.

The previous prime is 2139840839. The next prime is 2139840883. The reversal of 2139840864 is 4680489312.

It is a happy number.

2139840864 is digitally balanced in base 4, because in such base 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 (288).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992812 + ... + 994964.

It is an arithmetic number, because the mean of its divisors is an integer number (26461890).

Almost surely, 2^2139840864 is an apocalyptic number.

2139840864 is a gapful number since it is divisible by the number (24) 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 2139840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810512160).

2139840864 is an abundant number, since it is smaller than the sum of its proper divisors (5481183456).

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

2139840864 is a wasteful number, since it uses less digits than its factorization.

2139840864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2139840864 is about 46258.4139805938. The cubic root of 2139840864 is about 1288.6267990715.

The spelling of 2139840864 in words is "two billion, one hundred thirty-nine million, eight hundred forty thousand, eight hundred sixty-four".