2138705620380 has 288 divisors, whose sum is σ = 7494408649728. Its totient is φ = 483584256000.

The previous prime is 2138705620369. The next prime is 2138705620409. The reversal of 2138705620380 is 830265078312.

2138705620380 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 7 + 0 + 562 + 0 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45829339 + ... + 45875981.

It is an arithmetic number, because the mean of its divisors is an integer number (26022252256).

Almost surely, 2^{2138705620380} is an apocalyptic number.

2138705620380 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 2138705620380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747204324864).

2138705620380 is an abundant number, since it is smaller than the sum of its proper divisors (5355703029348).

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

2138705620380 is a wasteful number, since it uses less digits than its factorization.

2138705620380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47057 (or 47052 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2138705620380 in words is "two trillion, one hundred thirty-eight billion, seven hundred five million, six hundred twenty thousand, three hundred eighty".