2055456000 has 720 divisors, whose sum is σ = 8372412048. Its totient is φ = 497664000.

The previous prime is 2055455999. The next prime is 2055456107. The reversal of 2055456000 is 6545502.

2055456000 is a `hidden beast` number, since 2 + 0 + 5 + 54 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1637335296 + 418120704 = 40464^2 + 20448^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33695970 + ... + 33696030.

Almost surely, 2^2055456000 is an apocalyptic number.

2055456000 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 2055456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186206024).

2055456000 is an abundant number, since it is smaller than the sum of its proper divisors (6316956048).

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

2055456000 is an equidigital number, since it uses as much as digits as its factorization.

2055456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2055456000 is about 45337.1370953218. The cubic root of 2055456000 is about 1271.4600770113.

The spelling of 2055456000 in words is "two billion, fifty-five million, four hundred fifty-six thousand".