2138791680 has 432 divisors, whose sum is σ = 7851707136. Its totient is φ = 536739840.

The previous prime is 2138791679. The next prime is 2138791723. The reversal of 2138791680 is 861978312.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18927304 + ... + 18927416.

It is an arithmetic number, because the mean of its divisors is an integer number (18175248).

Almost surely, 2^2138791680 is an apocalyptic number.

2138791680 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 2138791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925853568).

2138791680 is an abundant number, since it is smaller than the sum of its proper divisors (5712915456).

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

2138791680 is a wasteful number, since it uses less digits than its factorization.

2138791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2138791680 is about 46247.0721235410. The cubic root of 2138791680 is about 1288.4161560482.

The spelling of 2138791680 in words is "two billion, one hundred thirty-eight million, seven hundred ninety-one thousand, six hundred eighty".