2138647100 has 18 divisors (see below), whose sum is σ = 4640864424. Its totient is φ = 855458800.

The previous prime is 2138647067. The next prime is 2138647151. The reversal of 2138647100 is 17468312.

It is a super-3 number, since 3×2138647100³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10693136 + ... + 10693335.

Almost surely, 2^2138647100 is an apocalyptic number.

2138647100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138647100 is an abundant number, since it is smaller than the sum of its proper divisors (2502217324).

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

2138647100 is a wasteful number, since it uses less digits than its factorization.

2138647100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21386485 (or 21386478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2138647100 is about 46245.5089711423. The cubic root of 2138647100 is about 1288.3871235487.

It can be divided in two parts, 21386 and 47100, that added together give a palindrome (68486).

The spelling of 2138647100 in words is "two billion, one hundred thirty-eight million, six hundred forty-seven thousand, one hundred".