2138872320 has 480 divisors, whose sum is σ = 8235379152. Its totient is φ = 509607936.

The previous prime is 2138872303. The next prime is 2138872343. The reversal of 2138872320 is 232788312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 704583936 + 1434288384 = 26544^2 + 37872^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082144 + ... + 11082336.

Almost surely, 2^2138872320 is an apocalyptic number.

2138872320 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 2138872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117689576).

2138872320 is an abundant number, since it is smaller than the sum of its proper divisors (6096506832).

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

2138872320 is a wasteful number, since it uses less digits than its factorization.

2138872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2138872320 is about 46247.9439542992. The cubic root of 2138872320 is about 1288.4323484579.

The spelling of 2138872320 in words is "two billion, one hundred thirty-eight million, eight hundred seventy-two thousand, three hundred twenty".