2135966700 has 576 divisors, whose sum is σ = 8159477760. Its totient is φ = 419696640.

The previous prime is 2135966689. The next prime is 2135966711. The reversal of 2135966700 is 76695312.

It is an interprime number because it is at equal distance from previous prime (2135966689) and next prime (2135966711).

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 191 ways as a sum of consecutive naturals, for example, 31880067 + ... + 31880133.

It is an arithmetic number, because the mean of its divisors is an integer number (14165760).

Almost surely, 2^2135966700 is an apocalyptic number.

2135966700 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 2135966700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079738880).

2135966700 is an abundant number, since it is smaller than the sum of its proper divisors (6023511060).

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

2135966700 is a wasteful number, since it uses less digits than its factorization.

2135966700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 2135966700 is about 46216.5197737779. The cubic root of 2135966700 is about 1287.8486465863.

The spelling of 2135966700 in words is "two billion, one hundred thirty-five million, nine hundred sixty-six thousand, seven hundred".