1897921824 has 96 divisors (see below), whose sum is σ = 5064825024. Its totient is φ = 622202880.

The previous prime is 1897921813. The next prime is 1897921841. The reversal of 1897921824 is 4281297981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2493604 + ... + 2494364.

It is an arithmetic number, because the mean of its divisors is an integer number (52758594).

Almost surely, 2^1897921824 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 1897921824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532412512).

1897921824 is an abundant number, since it is smaller than the sum of its proper divisors (3166903200).

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

1897921824 is a wasteful number, since it uses less digits than its factorization.

1897921824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The square root of 1897921824 is about 43565.1445997830. The cubic root of 1897921824 is about 1238.1105946265.

The spelling of 1897921824 in words is "one billion, eight hundred ninety-seven million, nine hundred twenty-one thousand, eight hundred twenty-four".