2240824401 has 6 divisors (see below), whose sum is σ = 3236746370. Its totient is φ = 1493882928.

The previous prime is 2240824343. The next prime is 2240824409. The reversal of 2240824401 is 1044280422.

It can be written as a sum of positive squares in only one way, i.e., 1959390225 + 281434176 = 44265^2 + 16776^2 .

It is not a de Polignac number, because 2240824401 - 2³⁰ = 1167082577 is a prime.

It is a super-3 number, since 3×2240824401³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240824409) 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, 124490236 + ... + 124490253.

Almost surely, 2^2240824401 is an apocalyptic number.

It is an amenable number.

2240824401 is a deficient number, since it is larger than the sum of its proper divisors (995921969).

2240824401 is a wasteful number, since it uses less digits than its factorization.

2240824401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248980495 (or 248980492 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2240824401 is about 47337.3467887671. The cubic root of 2240824401 is about 1308.5870204791.

The spelling of 2240824401 in words is "two billion, two hundred forty million, eight hundred twenty-four thousand, four hundred one".