2120434200 has 360 divisors, whose sum is σ = 7846716900. Its totient is φ = 529234560.

The previous prime is 2120434177. The next prime is 2120434213. The reversal of 2120434200 is 24340212.

2120434200 is a `hidden beast` number, since 212 + 0 + 434 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25547359 + ... + 25547441.

Almost surely, 2^2120434200 is an apocalyptic number.

2120434200 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 2120434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923358450).

2120434200 is an abundant number, since it is smaller than the sum of its proper divisors (5726282700).

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

2120434200 is a wasteful number, since it uses less digits than its factorization.

2120434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2120434200 is about 46048.1726021783. The cubic root of 2120434200 is about 1284.7193540945.

Adding to 2120434200 its reverse (24340212), we get a palindrome (2144774412).

The spelling of 2120434200 in words is "two billion, one hundred twenty million, four hundred thirty-four thousand, two hundred".