1826240000 has 200 divisors, whose sum is σ = 4921612080. Its totient is φ = 672768000.

The previous prime is 1826239979. The next prime is 1826240029. The reversal of 1826240000 is 426281.

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 4159781 + ... + 4160219.

Almost surely, 2^1826240000 is an apocalyptic number.

1826240000 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 1826240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460806040).

1826240000 is an abundant number, since it is smaller than the sum of its proper divisors (3095372080).

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

1826240000 is an frugal number, since it uses more digits than its factorization.

1826240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1826240000 is about 42734.5293644378. The cubic root of 1826240000 is about 1222.3229056941.

Adding to 1826240000 its reverse (426281), we get a palindrome (1826666281).

The spelling of 1826240000 in words is "one billion, eight hundred twenty-six million, two hundred forty thousand".