2505410440 has 64 divisors (see below), whose sum is σ = 6088446000. Its totient is φ = 922386432.

The previous prime is 2505410371. The next prime is 2505410449. The reversal of 2505410440 is 440145052.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 145588356 + 2359822084 = 12066^2 + 48578^2 .

It is not an unprimeable number, because it can be changed into a prime (2505410449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176736 + ... + 190384.

Almost surely, 2^2505410440 is an apocalyptic number.

2505410440 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 2505410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044223000).

2505410440 is an abundant number, since it is smaller than the sum of its proper divisors (3583035560).

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

2505410440 is a wasteful number, since it uses less digits than its factorization.

2505410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2505410440 is about 50054.0751587720. The cubic root of 2505410440 is about 1358.1871824219.

Adding to 2505410440 its reverse (440145052), we get a palindrome (2945555492).

The spelling of 2505410440 in words is "two billion, five hundred five million, four hundred ten thousand, four hundred forty".