2138605000 has 320 divisors, whose sum is σ = 6185520000. Its totient is φ = 691488000.

The previous prime is 2138604991. The next prime is 2138605013. The reversal of 2138605000 is 5068312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 49734979 + ... + 49735021.

It is an arithmetic number, because the mean of its divisors is an integer number (19329750).

Almost surely, 2^2138605000 is an apocalyptic number.

2138605000 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 2138605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092760000).

2138605000 is an abundant number, since it is smaller than the sum of its proper divisors (4046915000).

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

2138605000 is an equidigital number, since it uses as much as digits as its factorization.

2138605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2138605000 is about 46245.0537895676. The cubic root of 2138605000 is about 1288.3786693794.

The spelling of 2138605000 in words is "two billion, one hundred thirty-eight million, six hundred five thousand".