1882109440 has 160 divisors (see below), whose sum is σ = 4865715360. Its totient is φ = 695599104.

The previous prime is 1882109399. The next prime is 1882109513. The reversal of 1882109440 is 449012881.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1882109440² = 7084671888274227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1882109440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567314 + ... + 2568046.

It is an arithmetic number, because the mean of its divisors is an integer number (30410721).

Almost surely, 2^1882109440 is an apocalyptic number.

1882109440 is a gapful number since it is divisible by the number (10) 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 1882109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432857680).

1882109440 is an abundant number, since it is smaller than the sum of its proper divisors (2983605920).

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

1882109440 is an equidigital number, since it uses as much as digits as its factorization.

1882109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1882109440 is about 43383.2852605701. The cubic root of 1882109440 is about 1234.6625947544.

The spelling of 1882109440 in words is "one billion, eight hundred eighty-two million, one hundred nine thousand, four hundred forty".