2138863104 has 480 divisors, whose sum is σ = 7801643520. Its totient is φ = 565678080.

The previous prime is 2138863093. The next prime is 2138863121. The reversal of 2138863104 is 4013688312.

2138863104 is a `hidden beast` number, since 2 + 13 + 8 + 8 + 631 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 68995569 + ... + 68995599.

It is an arithmetic number, because the mean of its divisors is an integer number (16253424).

Almost surely, 2^2138863104 is an apocalyptic number.

2138863104 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 2138863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900821760).

2138863104 is an abundant number, since it is smaller than the sum of its proper divisors (5662780416).

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

2138863104 is an equidigital number, since it uses as much as digits as its factorization.

2138863104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2138863104 is about 46247.8443173301. The cubic root of 2138863104 is about 1288.4304979174.

The spelling of 2138863104 in words is "two billion, one hundred thirty-eight million, eight hundred sixty-three thousand, one hundred four".