2055081600 has 576 divisors, whose sum is σ = 8632260000. Its totient is φ = 458956800.

The previous prime is 2055081541. The next prime is 2055081631. The reversal of 2055081600 is 61805502.

2055081600 is a `hidden beast` number, since 2 + 0 + 5 + 50 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 4118151 + ... + 4118649.

Almost surely, 2^2055081600 is an apocalyptic number.

2055081600 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 2055081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316130000).

2055081600 is an abundant number, since it is smaller than the sum of its proper divisors (6577178400).

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

2055081600 is a wasteful number, since it uses less digits than its factorization.

2055081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2055081600 is about 45333.0078419687. The cubic root of 2055081600 is about 1271.3828737761.

It can be divided in two parts, 205 and 5081600, that added together give a palindrome (5081805).

The spelling of 2055081600 in words is "two billion, fifty-five million, eighty-one thousand, six hundred".