2158648800 has 288 divisors, whose sum is σ = 8760939264. Its totient is φ = 448512000.

The previous prime is 2158648799. The next prime is 2158648841. The reversal of 2158648800 is 88468512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178960 + ... + 190640.

It is an arithmetic number, because the mean of its divisors is an integer number (30419928).

Almost surely, 2^2158648800 is an apocalyptic number.

2158648800 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 2158648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380469632).

2158648800 is an abundant number, since it is smaller than the sum of its proper divisors (6602290464).

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

2158648800 is a wasteful number, since it uses less digits than its factorization.

2158648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 2158648800 is about 46461.2612829226. The cubic root of 2158648800 is about 1292.3912140768.

The spelling of 2158648800 in words is "two billion, one hundred fifty-eight million, six hundred forty-eight thousand, eight hundred".