2094408000 has 336 divisors, whose sum is σ = 7891515840. Its totient is φ = 528768000.

The previous prime is 2094407993. The next prime is 2094408011. The reversal of 2094408000 is 8044902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367235 + ... + 1368765.

Almost surely, 2^2094408000 is an apocalyptic number.

2094408000 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 2094408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945757920).

2094408000 is an abundant number, since it is smaller than the sum of its proper divisors (5797107840).

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

2094408000 is a wasteful number, since it uses less digits than its factorization.

2094408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2094408000 is about 45764.7025555722. The cubic root of 2094408000 is about 1279.4414881066.

The spelling of 2094408000 in words is "two billion, ninety-four million, four hundred eight thousand".