2055412800 has 504 divisors, whose sum is σ = 8725021920. Its totient is φ = 469324800.

The previous prime is 2055412763. The next prime is 2055412811. The reversal of 2055412800 is 82145502.

It is a happy number.

2055412800 is a `hidden beast` number, since 20 + 554 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2116315 + ... + 2117285.

Almost surely, 2^2055412800 is an apocalyptic number.

2055412800 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 2055412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362510960).

2055412800 is an abundant number, since it is smaller than the sum of its proper divisors (6669609120).

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

2055412800 is a wasteful number, since it uses less digits than its factorization.

2055412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2055412800 is about 45336.6606622058. The cubic root of 2055412800 is about 1271.4511694242.

The spelling of 2055412800 in words is "two billion, fifty-five million, four hundred twelve thousand, eight hundred".