1820991024 has 80 divisors (see below), whose sum is σ = 5268234240. Its totient is φ = 602199360.

The previous prime is 1820991019. The next prime is 1820991037. The reversal of 1820991024 is 4201990281.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1820991024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38269 + ... + 71459.

It is an arithmetic number, because the mean of its divisors is an integer number (65852928).

Almost surely, 2^1820991024 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 1820991024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634117120).

1820991024 is an abundant number, since it is smaller than the sum of its proper divisors (3447243216).

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

1820991024 is a wasteful number, since it uses less digits than its factorization.

1820991024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33335 (or 33323 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1820991024 is about 42673.0714151208. The cubic root of 1820991024 is about 1221.1507157796.

The spelling of 1820991024 in words is "one billion, eight hundred twenty million, nine hundred ninety-one thousand, twenty-four".