2506290688 has 80 divisors (see below), whose sum is σ = 5784500304. Its totient is φ = 1072168960.

The previous prime is 2506290679. The next prime is 2506290701. The reversal of 2506290688 is 8860926052.

It is a super-3 number, since 3×2506290688³ (a number of 29 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 82656 + ... + 108832.

Almost surely, 2^2506290688 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 2506290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892250152).

2506290688 is an abundant number, since it is smaller than the sum of its proper divisors (3278209616).

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

2506290688 is a wasteful number, since it uses less digits than its factorization.

2506290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26223 (or 26207 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 2506290688 is about 50062.8673569543. The cubic root of 2506290688 is about 1358.3462251009.

The spelling of 2506290688 in words is "two billion, five hundred six million, two hundred ninety thousand, six hundred eighty-eight".