2095304400 has 720 divisors, whose sum is σ = 9052527744. Its totient is φ = 437944320.

The previous prime is 2095304389. The next prime is 2095304423. The reversal of 2095304400 is 44035902.

2095304400 is a `hidden beast` number, since 209 + 53 + 0 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28702764 + ... + 28702836.

Almost surely, 2^2095304400 is an apocalyptic number.

2095304400 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 2095304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526263872).

2095304400 is an abundant number, since it is smaller than the sum of its proper divisors (6957223344).

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

2095304400 is a wasteful number, since it uses less digits than its factorization.

2095304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2095304400 is about 45774.4950818685. The cubic root of 2095304400 is about 1279.6239943752.

The spelling of 2095304400 in words is "two billion, ninety-five million, three hundred four thousand, four hundred".