2149368000 has 336 divisors, whose sum is σ = 7736348256. Its totient is φ = 522700800.

The previous prime is 2149367977. The next prime is 2149368017. The reversal of 2149368000 is 8639412.

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, 25895959 + ... + 25896041.

It is an arithmetic number, because the mean of its divisors is an integer number (23024846).

Almost surely, 2^2149368000 is an apocalyptic number.

2149368000 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 2149368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868174128).

2149368000 is an abundant number, since it is smaller than the sum of its proper divisors (5586980256).

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

2149368000 is an equidigital number, since it uses as much as digits as its factorization.

2149368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2149368000 is about 46361.2769453129. The cubic root of 2149368000 is about 1290.5364033284.

The spelling of 2149368000 in words is "two billion, one hundred forty-nine million, three hundred sixty-eight thousand".