2138814500 has 48 divisors (see below), whose sum is σ = 4678756992. Its totient is φ = 854136800.

The previous prime is 2138814463. The next prime is 2138814511. The reversal of 2138814500 is 54188312.

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 15 ways as a sum of consecutive naturals, for example, 338369 + ... + 344631.

It is an arithmetic number, because the mean of its divisors is an integer number (97474104).

Almost surely, 2^2138814500 is an apocalyptic number.

2138814500 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 2138814500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339378496).

2138814500 is an abundant number, since it is smaller than the sum of its proper divisors (2539942492).

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

2138814500 is a wasteful number, since it uses less digits than its factorization.

2138814500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2138814500 is about 46247.3188412042. The cubic root of 2138814500 is about 1288.4207383165.

The spelling of 2138814500 in words is "two billion, one hundred thirty-eight million, eight hundred fourteen thousand, five hundred".