2094259200 has 528 divisors, whose sum is σ = 7870698624. Its totient is φ = 486604800.

The previous prime is 2094259199. The next prime is 2094259201. The reversal of 2094259200 is 29524902.

It is an interprime number because it is at equal distance from previous prime (2094259199) and next prime (2094259201).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094259201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31257567 + ... + 31257633.

Almost surely, 2^2094259200 is an apocalyptic number.

2094259200 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 2094259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935349312).

2094259200 is an abundant number, since it is smaller than the sum of its proper divisors (5776439424).

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

2094259200 is a wasteful number, since it uses less digits than its factorization.

2094259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2094259200 is about 45763.0768196370. The cubic root of 2094259200 is about 1279.4111875154.

The spelling of 2094259200 in words is "two billion, ninety-four million, two hundred fifty-nine thousand, two hundred".