2488759040 has 144 divisors (see below), whose sum is σ = 6242866560. Its totient is φ = 949616640.

The previous prime is 2488759037. The next prime is 2488759043. The reversal of 2488759040 is 409578842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2488759037) and next prime (2488759043).

It is a Smith number, since the sum of its digits (47) 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 (47).

It is not an unprimeable number, because it can be changed into a prime (2488759043) 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 15 ways as a sum of consecutive naturals, for example, 2466056 + ... + 2467064.

It is an arithmetic number, because the mean of its divisors is an integer number (43353240).

Almost surely, 2^2488759040 is an apocalyptic number.

2488759040 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 2488759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121433280).

2488759040 is an abundant number, since it is smaller than the sum of its proper divisors (3754107520).

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

2488759040 is a wasteful number, since it uses less digits than its factorization.

2488759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2488759040 is about 49887.4637559377. The cubic root of 2488759040 is about 1355.1715745211.

The spelling of 2488759040 in words is "two billion, four hundred eighty-eight million, seven hundred fifty-nine thousand, forty".