1822398984 has 288 divisors, whose sum is σ = 6245740800. Its totient is φ = 476824320.

The previous prime is 1822398943. The next prime is 1822398989. The reversal of 1822398984 is 4898932281.

It is a super-2 number, since 2×1822398984² = 6642276113768464512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1822398984.

It is not an unprimeable number, because it can be changed into a prime (1822398989) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2077554 + ... + 2078430.

It is an arithmetic number, because the mean of its divisors is an integer number (21686600).

Almost surely, 2^1822398984 is an apocalyptic number.

1822398984 is a gapful number since it is divisible by the number (14) 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 1822398984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122870400).

1822398984 is an abundant number, since it is smaller than the sum of its proper divisors (4423341816).

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

1822398984 is a wasteful number, since it uses less digits than its factorization.

1822398984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1822398984 is about 42689.5652823966. The cubic root of 1822398984 is about 1221.4653591816.

The spelling of 1822398984 in words is "one billion, eight hundred twenty-two million, three hundred ninety-eight thousand, nine hundred eighty-four".