2106662700 has 72 divisors (see below), whose sum is σ = 6139888272. Its totient is φ = 557665280.

The previous prime is 2106662687. The next prime is 2106662707. The reversal of 2106662700 is 72666012.

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

It is not an unprimeable number, because it can be changed into a prime (2106662707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15472 + ... + 66728.

It is an arithmetic number, because the mean of its divisors is an integer number (85276226).

Almost surely, 2^2106662700 is an apocalyptic number.

2106662700 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 2106662700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069944136).

2106662700 is an abundant number, since it is smaller than the sum of its proper divisors (4033225572).

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

2106662700 is a wasteful number, since it uses less digits than its factorization.

2106662700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51411 (or 51404 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2106662700 is about 45898.3953967892. The cubic root of 2106662700 is about 1281.9320391705.

The spelling of 2106662700 in words is "two billion, one hundred six million, six hundred sixty-two thousand, seven hundred".