2509682628 has 48 divisors (see below), whose sum is σ = 6145969536. Its totient is φ = 795548160.

The previous prime is 2509682627. The next prime is 2509682629. The reversal of 2509682628 is 8262869052.

It is an interprime number because it is at equal distance from previous prime (2509682627) and next prime (2509682629).

It is not an unprimeable number, because it can be changed into a prime (2509682627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21468 + ... + 74028.

It is an arithmetic number, because the mean of its divisors is an integer number (128041032).

Almost surely, 2^2509682628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509682628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072984768).

2509682628 is an abundant number, since it is smaller than the sum of its proper divisors (3636286908).

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

2509682628 is a wasteful number, since it uses less digits than its factorization.

2509682628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52764 (or 52762 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2509682628 is about 50096.7327078324. The cubic root of 2509682628 is about 1358.9587307929.

The spelling of 2509682628 in words is "two billion, five hundred nine million, six hundred eighty-two thousand, six hundred twenty-eight".