2506628048 has 90 divisors (see below), whose sum is σ = 5284548486. Its totient is φ = 1151615232.

The previous prime is 2506628041. The next prime is 2506628063. The reversal of 2506628048 is 8408266052.

It can be written as a sum of positive squares in 3 ways, for example, as 740275264 + 1766352784 = 27208^2 + 42028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2506627996 and 2506628014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506628041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7907186 + ... + 7907502.

Almost surely, 2^2506628048 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 2506628048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642274243).

2506628048 is an abundant number, since it is smaller than the sum of its proper divisors (2777920438).

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

2506628048 is a wasteful number, since it uses less digits than its factorization.

2506628048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 2506628048 is about 50066.2366071188. The cubic root of 2506628048 is about 1358.4071692317.

The spelling of 2506628048 in words is "two billion, five hundred six million, six hundred twenty-eight thousand, forty-eight".