1013224240 has 80 divisors (see below), whose sum is σ = 2704380480. Its totient is φ = 345830400.

The previous prime is 1013224211. The next prime is 1013224241. The reversal of 1013224240 is 424223101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1013224241) 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 15 ways as a sum of consecutive naturals, for example, 124290 + ... + 132190.

It is an arithmetic number, because the mean of its divisors is an integer number (33804756).

Almost surely, 2^1013224240 is an apocalyptic number.

1013224240 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 1013224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352190240).

1013224240 is an abundant number, since it is smaller than the sum of its proper divisors (1691156240).

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

1013224240 is a wasteful number, since it uses less digits than its factorization.

1013224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1013224240 is about 31831.1834527088. The cubic root of 1013224240 is about 1004.3887903411.

Adding to 1013224240 its reverse (424223101), we get a palindrome (1437447341).

The spelling of 1013224240 in words is "one billion, thirteen million, two hundred twenty-four thousand, two hundred forty".