2120385600 has 210 divisors, whose sum is σ = 7794480474. Its totient is φ = 565401600.

The previous prime is 2120385587. The next prime is 2120385607. The reversal of 2120385600 is 65830212.

2120385600 is a `hidden beast` number, since 2 + 1 + 20 + 38 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75898944 + 2044486656 = 8712^2 + 45216^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2120385607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121420 + ... + 137780.

Almost surely, 2^2120385600 is an apocalyptic number.

2120385600 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 2120385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897240237).

2120385600 is an abundant number, since it is smaller than the sum of its proper divisors (5674094874).

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

2120385600 is a wasteful number, since it uses less digits than its factorization.

2120385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16395 (or 16371 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2120385600 is about 46047.6448909171. The cubic root of 2120385600 is about 1284.7095388347.

The spelling of 2120385600 in words is "two billion, one hundred twenty million, three hundred eighty-five thousand, six hundred".