2488009160 has 256 divisors, whose sum is σ = 7536291840. Its totient is φ = 716636160.

The previous prime is 2488009159. The next prime is 2488009217. The reversal of 2488009160 is 619008842.

It is a super-3 number, since 3×2488009160³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1917632 + ... + 1918928.

It is an arithmetic number, because the mean of its divisors is an integer number (29438640).

Almost surely, 2^2488009160 is an apocalyptic number.

2488009160 is a gapful number since it is divisible by the number (20) 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 2488009160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768145920).

2488009160 is an abundant number, since it is smaller than the sum of its proper divisors (5048282680).

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

2488009160 is a wasteful number, since it uses less digits than its factorization.

2488009160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 2488009160 is about 49879.9474739098. The cubic root of 2488009160 is about 1355.0354533826.

The spelling of 2488009160 in words is "two billion, four hundred eighty-eight million, nine thousand, one hundred sixty".