2120613300 has 216 divisors, whose sum is σ = 7200546080. Its totient is φ = 518918400.

The previous prime is 2120613289. The next prime is 2120613331. The reversal of 2120613300 is 33160212.

2120613300 is a `hidden beast` number, since 2 + 1 + 20 + 613 + 30 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2468271 + ... + 2469129.

Almost surely, 2^2120613300 is an apocalyptic number.

2120613300 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 2120613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600273040).

2120613300 is an abundant number, since it is smaller than the sum of its proper divisors (5079932780).

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

2120613300 is a wasteful number, since it uses less digits than its factorization.

2120613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2120613300 is about 46050.1172636943. The cubic root of 2120613300 is about 1284.7555238498.

Adding to 2120613300 its reverse (33160212), we get a palindrome (2153773512).

The spelling of 2120613300 in words is "two billion, one hundred twenty million, six hundred thirteen thousand, three hundred".