2488367520 has 384 divisors, whose sum is σ = 9527777280. Its totient is φ = 603832320.

The previous prime is 2488367507. The next prime is 2488367527. The reversal of 2488367520 is 257638842.

2488367520 is a `hidden beast` number, since 2 + 48 + 83 + 6 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2488367527) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2276094 + ... + 2277186.

It is an arithmetic number, because the mean of its divisors is an integer number (24811920).

Almost surely, 2^2488367520 is an apocalyptic number.

2488367520 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 2488367520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763888640).

2488367520 is an abundant number, since it is smaller than the sum of its proper divisors (7039409760).

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

2488367520 is a wasteful number, since it uses less digits than its factorization.

2488367520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

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

The square root of 2488367520 is about 49883.5395696817. The cubic root of 2488367520 is about 1355.1005076974.

The spelling of 2488367520 in words is "two billion, four hundred eighty-eight million, three hundred sixty-seven thousand, five hundred twenty".