2530406208 has 336 divisors, whose sum is σ = 8026603200. Its totient is φ = 700170240.

The previous prime is 2530406201. The next prime is 2530406213. The reversal of 2530406208 is 8026040352.

2530406208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530406201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16982518 + ... + 16982666.

It is an arithmetic number, because the mean of its divisors is an integer number (23888700).

Almost surely, 2^2530406208 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 2530406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013301600).

2530406208 is an abundant number, since it is smaller than the sum of its proper divisors (5496196992).

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

2530406208 is a wasteful number, since it uses less digits than its factorization.

2530406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2530406208 is about 50303.1431224730. The cubic root of 2530406208 is about 1362.6889935404.

The spelling of 2530406208 in words is "two billion, five hundred thirty million, four hundred six thousand, two hundred eight".