1882108440 has 256 divisors, whose sum is σ = 6466521600. Its totient is φ = 486720000.

The previous prime is 1882108433. The next prime is 1882108453. The reversal of 1882108440 is 448012881.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1882108395 and 1882108404.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7498315 + ... + 7498565.

It is an arithmetic number, because the mean of its divisors is an integer number (25259850).

Almost surely, 2^1882108440 is an apocalyptic number.

1882108440 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 1882108440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233260800).

1882108440 is an abundant number, since it is smaller than the sum of its proper divisors (4584413160).

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

1882108440 is a wasteful number, since it uses less digits than its factorization.

1882108440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1882108440 is about 43383.2737353925. The cubic root of 1882108440 is about 1234.6623760879.

The spelling of 1882108440 in words is "one billion, eight hundred eighty-two million, one hundred eight thousand, four hundred forty".