1790740224 has 540 divisors, whose sum is σ = 6698523216. Its totient is φ = 465813504.

The previous prime is 1790740223. The next prime is 1790740261. The reversal of 1790740224 is 4220470971.

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 (1790740223) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 24530652 + ... + 24530724.

Almost surely, 2^1790740224 is an apocalyptic number.

1790740224 is a gapful number since it is divisible by the number (14) 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 1790740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349261608).

1790740224 is an abundant number, since it is smaller than the sum of its proper divisors (4907782992).

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

1790740224 is an equidigital number, since it uses as much as digits as its factorization.

1790740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1790740224 is about 42317.1386556322. The cubic root of 1790740224 is about 1214.3508924197.

The spelling of 1790740224 in words is "one billion, seven hundred ninety million, seven hundred forty thousand, two hundred twenty-four".