2508428736 has 504 divisors, whose sum is σ = 8656840192. Its totient is φ = 718502400.

The previous prime is 2508428729. The next prime is 2508428743. The reversal of 2508428736 is 6378248052.

It is an interprime number because it is at equal distance from previous prime (2508428729) and next prime (2508428743).

It is a junction number, because it is equal to n+sod(n) for n = 2508428691 and 2508428700.

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 71 ways as a sum of consecutive naturals, for example, 58335531 + ... + 58335573.

Almost surely, 2^2508428736 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 2508428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328420096).

2508428736 is an abundant number, since it is smaller than the sum of its proper divisors (6148411456).

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

2508428736 is a wasteful number, since it uses less digits than its factorization.

2508428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2508428736 is about 50084.2164359192. The cubic root of 2508428736 is about 1358.7323713157.

The spelling of 2508428736 in words is "two billion, five hundred eight million, four hundred twenty-eight thousand, seven hundred thirty-six".