2508368688 has 160 divisors (see below), whose sum is σ = 8512550400. Its totient is φ = 691939584.

The previous prime is 2508368671. The next prime is 2508368701. The reversal of 2508368688 is 8868638052.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 73395 + ... + 101997.

It is an arithmetic number, because the mean of its divisors is an integer number (53203440).

Almost surely, 2^2508368688 is an apocalyptic number.

2508368688 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 2508368688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256275200).

2508368688 is an abundant number, since it is smaller than the sum of its proper divisors (6004181712).

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

2508368688 is a wasteful number, since it uses less digits than its factorization.

2508368688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28656 (or 28644 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2508368688 is about 50083.6169620366. The cubic root of 2508368688 is about 1358.7215292280.

It can be divided in two parts, 2508368 and 688, that added together give a square (2509056 = 1584²).

The spelling of 2508368688 in words is "two billion, five hundred eight million, three hundred sixty-eight thousand, six hundred eighty-eight".