2138339628340 has 36 divisors (see below), whose sum is σ = 4770199176876. Its totient is φ = 805021975552.

The previous prime is 2138339628317. The next prime is 2138339628343. The reversal of 2138339628340 is 438269338312.

It can be written as a sum of positive squares in 6 ways, for example, as 224909268516 + 1913430359824 = 474246^2 + 1383268^2 .

It is a super-2 number, since 2×2138339628340² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138339628343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184971697 + ... + 184983256.

It is an arithmetic number, because the mean of its divisors is an integer number (132505532691).

Almost surely, 2^{2138339628340} is an apocalyptic number.

2138339628340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138339628340 is an abundant number, since it is smaller than the sum of its proper divisors (2631859548536).

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

2138339628340 is a wasteful number, since it uses less digits than its factorization.

2138339628340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369954996 (or 369954977 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 2138339628340 in words is "two trillion, one hundred thirty-eight billion, three hundred thirty-nine million, six hundred twenty-eight thousand, three hundred forty".