1826740224 has 288 divisors, whose sum is σ = 5723827200. Its totient is φ = 559595520.

The previous prime is 1826740217. The next prime is 1826740229. The reversal of 1826740224 is 4220476281.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826740229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13141947 + ... + 13142085.

It is an arithmetic number, because the mean of its divisors is an integer number (19874400).

Almost surely, 2^1826740224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1826740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861913600).

1826740224 is an abundant number, since it is smaller than the sum of its proper divisors (3897086976).

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

1826740224 is a wasteful number, since it uses less digits than its factorization.

1826740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1826740224 is about 42740.3816548238. The cubic root of 1826740224 is about 1222.4344973498.

The spelling of 1826740224 in words is "one billion, eight hundred twenty-six million, seven hundred forty thousand, two hundred twenty-four".