2138414824 has 128 divisors (see below), whose sum is σ = 5044838400. Its totient is φ = 827366400.

The previous prime is 2138414807. The next prime is 2138414867. The reversal of 2138414824 is 4284148312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9337942 + ... + 9338170.

It is an arithmetic number, because the mean of its divisors is an integer number (39412800).

Almost surely, 2^2138414824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138414824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522419200).

2138414824 is an abundant number, since it is smaller than the sum of its proper divisors (2906423576).

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

2138414824 is a wasteful number, since it uses less digits than its factorization.

2138414824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 2138414824 is about 46242.9975671993. The cubic root of 2138414824 is about 1288.3404784458.

The spelling of 2138414824 in words is "two billion, one hundred thirty-eight million, four hundred fourteen thousand, eight hundred twenty-four".