2005088400 has 360 divisors, whose sum is σ = 8009112384. Its totient is φ = 455040000.

The previous prime is 2005088399. The next prime is 2005088447. The reversal of 2005088400 is 48805002.

2005088400 is a `hidden beast` number, since 200 + 50 + 8 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6325042 + ... + 6325358.

Almost surely, 2^2005088400 is an apocalyptic number.

2005088400 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 2005088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004556192).

2005088400 is an abundant number, since it is smaller than the sum of its proper divisors (6004023984).

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

2005088400 is a wasteful number, since it uses less digits than its factorization.

2005088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2005088400 is about 44778.2134525262. The cubic root of 2005088400 is about 1260.9886420618.

The spelling of 2005088400 in words is "two billion, five million, eighty-eight thousand, four hundred".