2055830400 has 864 divisors, whose sum is σ = 8833679400. Its totient is φ = 451215360.

The previous prime is 2055830393. The next prime is 2055830429. The reversal of 2055830400 is 40385502.

2055830400 is a `hidden beast` number, since 205 + 58 + 3 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 108201591 + ... + 108201609.

Almost surely, 2^2055830400 is an apocalyptic number.

2055830400 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 2055830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416839700).

2055830400 is an abundant number, since it is smaller than the sum of its proper divisors (6777849000).

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

2055830400 is a wasteful number, since it uses less digits than its factorization.

2055830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2055830400 is about 45341.2659726215. The cubic root of 2055830400 is about 1271.5372708720.

The spelling of 2055830400 in words is "two billion, fifty-five million, eight hundred thirty thousand, four hundred".