2041399200 has 288 divisors, whose sum is σ = 6896558592. Its totient is φ = 524160000.

The previous prime is 2041399189. The next prime is 2041399223. The reversal of 2041399200 is 29931402.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13519125 + ... + 13519275.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 2^2041399200 is an apocalyptic number.

2041399200 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 2041399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448279296).

2041399200 is an abundant number, since it is smaller than the sum of its proper divisors (4855159392).

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

2041399200 is a wasteful number, since it uses less digits than its factorization.

2041399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2041399200 is about 45181.8459118261. The cubic root of 2041399200 is about 1268.5550350358. Note that the first 3 decimals are identical.

The spelling of 2041399200 in words is "two billion, forty-one million, three hundred ninety-nine thousand, two hundred".