2130778200 has 192 divisors, whose sum is σ = 6952367520. Its totient is φ = 539136000.

The previous prime is 2130778193. The next prime is 2130778207. The reversal of 2130778200 is 28770312.

It is an interprime number because it is at equal distance from previous prime (2130778193) and next prime (2130778207).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130778207) by changing a digit.

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, 909030 + ... + 911370.

Almost surely, 2^2130778200 is an apocalyptic number.

2130778200 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 2130778200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476183760).

2130778200 is an abundant number, since it is smaller than the sum of its proper divisors (4821589320).

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

2130778200 is a wasteful number, since it uses less digits than its factorization.

2130778200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2130778200 is about 46160.3531182334. The cubic root of 2130778200 is about 1286.8050253760.

The spelling of 2130778200 in words is "two billion, one hundred thirty million, seven hundred seventy-eight thousand, two hundred".