2682558648 has 192 divisors, whose sum is σ = 9393995520. Its totient is φ = 696729600.

The previous prime is 2682558629. The next prime is 2682558661. The reversal of 2682558648 is 8468552862.

It is a happy number.

2682558648 is a `hidden beast` number, since 2 + 6 + 82 + 558 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×2682558648² = 14392241799919175808, which contains 22 as substring.

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 = 2682558594 and 2682558603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140728 + ... + 158648.

It is an arithmetic number, because the mean of its divisors is an integer number (48927060).

Almost surely, 2^2682558648 is an apocalyptic number.

2682558648 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 2682558648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696997760).

2682558648 is an abundant number, since it is smaller than the sum of its proper divisors (6711436872).

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

2682558648 is a wasteful number, since it uses less digits than its factorization.

2682558648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17960 (or 17944 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 2682558648 is about 51793.4228256832. The cubic root of 2682558648 is about 1389.4718156075.

The spelling of 2682558648 in words is "two billion, six hundred eighty-two million, five hundred fifty-eight thousand, six hundred forty-eight".