2675659248 has 120 divisors (see below), whose sum is σ = 7769034000. Its totient is φ = 858611712.

The previous prime is 2675659237. The next prime is 2675659331. The reversal of 2675659248 is 8429565762.

2675659248 is a `hidden beast` number, since 2 + 6 + 7 + 5 + 6 + 592 + 48 = 666.

It is a super-2 number, since 2×2675659248² = 14318304822815851008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2675659194 and 2675659203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1874311 + ... + 1875737.

It is an arithmetic number, because the mean of its divisors is an integer number (64741950).

Almost surely, 2^2675659248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675659248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884517000).

2675659248 is an abundant number, since it is smaller than the sum of its proper divisors (5093374752).

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

2675659248 is a wasteful number, since it uses less digits than its factorization.

2675659248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2675659248 is about 51726.7749622959. The cubic root of 2675659248 is about 1388.2795767113.

The spelling of 2675659248 in words is "two billion, six hundred seventy-five million, six hundred fifty-nine thousand, two hundred forty-eight".