2505402330 has 64 divisors (see below), whose sum is σ = 6271147008. Its totient is φ = 639866880.

The previous prime is 2505402329. The next prime is 2505402331. The reversal of 2505402330 is 332045052.

It is an interprime number because it is at equal distance from previous prime (2505402329) and next prime (2505402331).

It is a self number, because there is not a number n which added to its sum of digits gives 2505402330.

It is not an unprimeable number, because it can be changed into a prime (2505402331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76324 + ... + 104096.

It is an arithmetic number, because the mean of its divisors is an integer number (97986672).

Almost surely, 2^2505402330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505402330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135573504).

2505402330 is an abundant number, since it is smaller than the sum of its proper divisors (3765744678).

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

2505402330 is a wasteful number, since it uses less digits than its factorization.

2505402330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27911.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2505402330 is about 50053.9941463216. The cubic root of 2505402330 is about 1358.1857169388.

Adding to 2505402330 its reverse (332045052), we get a palindrome (2837447382).

The spelling of 2505402330 in words is "two billion, five hundred five million, four hundred two thousand, three hundred thirty".