2149210800 has 480 divisors, whose sum is σ = 8487552000. Its totient is φ = 512179200.

The previous prime is 2149210799. The next prime is 2149210801. The reversal of 2149210800 is 80129412.

It is an interprime number because it is at equal distance from previous prime (2149210799) and next prime (2149210801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2149210801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9385086 + ... + 9385314.

It is an arithmetic number, because the mean of its divisors is an integer number (17682400).

Almost surely, 2^2149210800 is an apocalyptic number.

2149210800 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 2149210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243776000).

2149210800 is an abundant number, since it is smaller than the sum of its proper divisors (6338341200).

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

2149210800 is a wasteful number, since it uses less digits than its factorization.

2149210800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2149210800 is about 46359.5815339181. The cubic root of 2149210800 is about 1290.5049402396.

The spelling of 2149210800 in words is "two billion, one hundred forty-nine million, two hundred ten thousand, eight hundred".