2659387248 has 320 divisors, whose sum is σ = 9320832000. Its totient is φ = 711134208.

The previous prime is 2659387243. The next prime is 2659387253. The reversal of 2659387248 is 8427839562.

2659387248 is a `hidden beast` number, since 2 + 6 + 593 + 8 + 7 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2659387243) and next prime (2659387253).

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

It is a junction number, because it is equal to n+sod(n) for n = 2659387194 and 2659387203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2659387243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14856823 + ... + 14857001.

It is an arithmetic number, because the mean of its divisors is an integer number (29127600).

Almost surely, 2^2659387248 is an apocalyptic number.

2659387248 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 2659387248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660416000).

2659387248 is an abundant number, since it is smaller than the sum of its proper divisors (6661444752).

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

2659387248 is a wasteful number, since it uses less digits than its factorization.

2659387248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 208 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2659387248 is about 51569.2471149231. The cubic root of 2659387248 is about 1385.4595820445.

The spelling of 2659387248 in words is "two billion, six hundred fifty-nine million, three hundred eighty-seven thousand, two hundred forty-eight".