2889138000 has 480 divisors, whose sum is σ = 11220139008. Its totient is φ = 637056000.

The previous prime is 2889137989. The next prime is 2889138001. The reversal of 2889138000 is 8319882.

2889138000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2889138000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889138001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9113842 + ... + 9114158.

Almost surely, 2^2889138000 is an apocalyptic number.

2889138000 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 2889138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610069504).

2889138000 is an abundant number, since it is smaller than the sum of its proper divisors (8331001008).

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

2889138000 is a wasteful number, since it uses less digits than its factorization.

2889138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2889138000 is about 53750.7023209930. The cubic root of 2889138000 is about 1424.2604965721.

The spelling of 2889138000 in words is "two billion, eight hundred eighty-nine million, one hundred thirty-eight thousand".