2094145200 has 180 divisors, whose sum is σ = 8305546288. Its totient is φ = 478656000.

The previous prime is 2094145199. The next prime is 2094145237. The reversal of 2094145200 is 25414902.

2094145200 is a `hidden beast` number, since 209 + 4 + 1 + 452 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16351 + ... + 66750.

Almost surely, 2^2094145200 is an apocalyptic number.

2094145200 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 2094145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152773144).

2094145200 is an abundant number, since it is smaller than the sum of its proper divisors (6211401088).

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

2094145200 is a wasteful number, since it uses less digits than its factorization.

2094145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83132 (or 83118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2094145200 is about 45761.8312570640. The cubic root of 2094145200 is about 1279.3879723817.

The spelling of 2094145200 in words is "two billion, ninety-four million, one hundred forty-five thousand, two hundred".