2138922720 has 768 divisors, whose sum is σ = 9057484800. Its totient is φ = 465315840.

The previous prime is 2138922719. The next prime is 2138922761. The reversal of 2138922720 is 272298312.

2138922720 is a `hidden beast` number, since 2 + 1 + 389 + 2 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20766189 + ... + 20766291.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^2138922720 is an apocalyptic number.

2138922720 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 2138922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2138922720 is an abundant number, since it is smaller than the sum of its proper divisors (6918562080).

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

2138922720 is a wasteful number, since it uses less digits than its factorization.

2138922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2138922720 is about 46248.4888401773. The cubic root of 2138922720 is about 1288.4424685072.

It can be divided in two parts, 213892 and 2720, that added together give a palindrome (216612).

The spelling of 2138922720 in words is "two billion, one hundred thirty-eight million, nine hundred twenty-two thousand, seven hundred twenty".