2409720224 has 36 divisors (see below), whose sum is σ = 4862778102. Its totient is φ = 1175447040.

The previous prime is 2409720223. The next prime is 2409720283. The reversal of 2409720224 is 4220279042.

It can be written as a sum of positive squares in 3 ways, for example, as 572740624 + 1836979600 = 23932^2 + 42860^2 .

It is a super-2 number, since 2×2409720224² = 11613503115909220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2409720223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31394 + ... + 76190.

Almost surely, 2^2409720224 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 2409720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431389051).

2409720224 is an abundant number, since it is smaller than the sum of its proper divisors (2453057878).

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

2409720224 is an equidigital number, since it uses as much as digits as its factorization.

2409720224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44889 (or 44840 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2409720224 is about 49088.9012303189. The cubic root of 2409720224 is about 1340.6709760634.

Adding to 2409720224 its reverse (4220279042), we get a palindrome (6629999266).

The spelling of 2409720224 in words is "two billion, four hundred nine million, seven hundred twenty thousand, two hundred twenty-four".