2889398400 has 768 divisors, whose sum is σ = 11980185600. Its totient is φ = 597196800.

The previous prime is 2889398389. The next prime is 2889398401. The reversal of 2889398400 is 48939882.

It is a happy number.

It is a super-2 number, since 2×2889398400² = 16697246227845120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2889398401) 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, 39580764 + ... + 39580836.

It is an arithmetic number, because the mean of its divisors is an integer number (15599200).

Almost surely, 2^2889398400 is an apocalyptic number.

2889398400 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 2889398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990092800).

2889398400 is an abundant number, since it is smaller than the sum of its proper divisors (9090787200).

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

2889398400 is a wasteful number, since it uses less digits than its factorization.

2889398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 2889398400 is about 53753.1245603453. The cubic root of 2889398400 is about 1424.3032851468.

The spelling of 2889398400 in words is "two billion, eight hundred eighty-nine million, three hundred ninety-eight thousand, four hundred".