2138997200080 has 160 divisors (see below), whose sum is σ = 5548182893568. Its totient is φ = 761583513600.

The previous prime is 2138997200077. The next prime is 2138997200203. The reversal of 2138997200080 is 800027998312.

It is a junction number, because it is equal to n+sod(n) for n = 2138997199997 and 2138997200033.

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 31 ways as a sum of consecutive naturals, for example, 8941387 + ... + 9177493.

Almost surely, 2^{2138997200080} is an apocalyptic number.

2138997200080 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 2138997200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774091446784).

2138997200080 is an abundant number, since it is smaller than the sum of its proper divisors (3409185693488).

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

2138997200080 is a wasteful number, since it uses less digits than its factorization.

2138997200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236445 (or 236439 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 2138997200080 in words is "two trillion, one hundred thirty-eight billion, nine hundred ninety-seven million, two hundred thousand, eighty".