2137168800 has 720 divisors, whose sum is σ = 8734128480. Its totient is φ = 505128960.

The previous prime is 2137168783. The next prime is 2137168853. The reversal of 2137168800 is 88617312.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36223171 + ... + 36223229.

It is an arithmetic number, because the mean of its divisors is an integer number (12130734).

Almost surely, 2^2137168800 is an apocalyptic number.

2137168800 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 2137168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367064240).

2137168800 is an abundant number, since it is smaller than the sum of its proper divisors (6596959680).

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

2137168800 is a wasteful number, since it uses less digits than its factorization.

2137168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2137168800 is about 46229.5230345285. The cubic root of 2137168800 is about 1288.0901972507.

The spelling of 2137168800 in words is "two billion, one hundred thirty-seven million, one hundred sixty-eight thousand, eight hundred".