2155096800 has 288 divisors, whose sum is σ = 8254159200. Its totient is φ = 540794880.

The previous prime is 2155096777. The next prime is 2155096837. The reversal of 2155096800 is 86905512.

It is a happy number.

2155096800 is a `hidden beast` number, since 21 + 550 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364266 + ... + 370134.

It is an arithmetic number, because the mean of its divisors is an integer number (28660275).

Almost surely, 2^2155096800 is an apocalyptic number.

2155096800 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 2155096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127079600).

2155096800 is an abundant number, since it is smaller than the sum of its proper divisors (6099062400).

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

2155096800 is a wasteful number, since it uses less digits than its factorization.

2155096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2155096800 is about 46423.0201516446. The cubic root of 2155096800 is about 1291.6819596293.

The spelling of 2155096800 in words is "two billion, one hundred fifty-five million, ninety-six thousand, eight hundred".