1826442880 has 128 divisors (see below), whose sum is σ = 4596756480. Its totient is φ = 692600832.

The previous prime is 1826442859. The next prime is 1826442899. The reversal of 1826442880 is 882446281.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1868952 + ... + 1869928.

It is an arithmetic number, because the mean of its divisors is an integer number (35912160).

Almost surely, 2^1826442880 is an apocalyptic number.

1826442880 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 1826442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298378240).

1826442880 is an abundant number, since it is smaller than the sum of its proper divisors (2770313600).

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

1826442880 is a wasteful number, since it uses less digits than its factorization.

1826442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The square root of 1826442880 is about 42736.9030230315. The cubic root of 1826442880 is about 1222.3681673042.

The spelling of 1826442880 in words is "one billion, eight hundred twenty-six million, four hundred forty-two thousand, eight hundred eighty".