2508225328 has 120 divisors (see below), whose sum is σ = 5797597680. Its totient is φ = 1047836160.

The previous prime is 2508225319. The next prime is 2508225337. The reversal of 2508225328 is 8235228052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2508225319) and next prime (2508225337).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8560350 + ... + 8560642.

It is an arithmetic number, because the mean of its divisors is an integer number (48313314).

Almost surely, 2^2508225328 is an apocalyptic number.

2508225328 is a gapful number since it is divisible by the number (28) 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 2508225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898798840).

2508225328 is an abundant number, since it is smaller than the sum of its proper divisors (3289372352).

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

2508225328 is a wasteful number, since it uses less digits than its factorization.

2508225328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 2508225328 is about 50082.1857350495. The cubic root of 2508225328 is about 1358.6956438747.

The spelling of 2508225328 in words is "two billion, five hundred eight million, two hundred twenty-five thousand, three hundred twenty-eight".