2505004340 has 96 divisors (see below), whose sum is σ = 5643902880. Its totient is φ = 932069376.

The previous prime is 2505004331. The next prime is 2505004351. The reversal of 2505004340 is 434005052.

2505004340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 154306084 + 2350698256 = 12422^2 + 48484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2424464 + ... + 2425496.

It is an arithmetic number, because the mean of its divisors is an integer number (58790655).

Almost surely, 2^2505004340 is an apocalyptic number.

2505004340 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 2505004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821951440).

2505004340 is an abundant number, since it is smaller than the sum of its proper divisors (3138898540).

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

2505004340 is a wasteful number, since it uses less digits than its factorization.

2505004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2505004340 is about 50050.0183816150. The cubic root of 2505004340 is about 1358.1137959607.

Adding to 2505004340 its reverse (434005052), we get a palindrome (2939009392).

The spelling of 2505004340 in words is "two billion, five hundred five million, four thousand, three hundred forty".