2138486784 has 192 divisors, whose sum is σ = 6861254400. Its totient is φ = 578617344.

The previous prime is 2138486773. The next prime is 2138486789. The reversal of 2138486784 is 4876848312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138486789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815844 + ... + 818460.

It is an arithmetic number, because the mean of its divisors is an integer number (35735700).

Almost surely, 2^2138486784 is an apocalyptic number.

2138486784 is a gapful number since it is divisible by the number (24) 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 2138486784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430627200).

2138486784 is an abundant number, since it is smaller than the sum of its proper divisors (4722767616).

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

2138486784 is a wasteful number, since it uses less digits than its factorization.

2138486784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2648 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 2138486784 is about 46243.7756244016. The cubic root of 2138486784 is about 1288.3549296395.

The spelling of 2138486784 in words is "two billion, one hundred thirty-eight million, four hundred eighty-six thousand, seven hundred eighty-four".