2138648512 has 336 divisors, whose sum is σ = 6129406080. Its totient is φ = 725760000.

The previous prime is 2138648497. The next prime is 2138648539. The reversal of 2138648512 is 2158468312.

Its product of digits (92160) is a multiple of the sum of its prime factors (320).

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, 8520387 + ... + 8520637.

It is an arithmetic number, because the mean of its divisors is an integer number (18242280).

Almost surely, 2^2138648512 is an apocalyptic number.

2138648512 is a gapful number since it is divisible by the number (22) 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 2138648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064703040).

2138648512 is an abundant number, since it is smaller than the sum of its proper divisors (3990757568).

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

2138648512 is a wasteful number, since it uses less digits than its factorization.

2138648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 2138648512 is about 46245.5242374870. The cubic root of 2138648512 is about 1288.3874070928.

The spelling of 2138648512 in words is "two billion, one hundred thirty-eight million, six hundred forty-eight thousand, five hundred twelve".