2452017440 has 192 divisors, whose sum is σ = 6362175456. Its totient is φ = 889454592.

The previous prime is 2452017391. The next prime is 2452017443. The reversal of 2452017440 is 447102542.

It can be written as a sum of positive squares in 16 ways, for example, as 481012624 + 1971004816 = 21932^2 + 44396^2 .

It is not an unprimeable number, because it can be changed into a prime (2452017443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10523564 + ... + 10523796.

Almost surely, 2^2452017440 is an apocalyptic number.

2452017440 is a gapful number since it is divisible by the number (20) 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 2452017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181087728).

2452017440 is an abundant number, since it is smaller than the sum of its proper divisors (3910158016).

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

2452017440 is a wasteful number, since it uses less digits than its factorization.

2452017440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 2452017440 is about 49517.8497109881. The cubic root of 2452017440 is about 1348.4696769886.

Adding to 2452017440 its reverse (447102542), we get a palindrome (2899119982).

The spelling of 2452017440 in words is "two billion, four hundred fifty-two million, seventeen thousand, four hundred forty".