2684617488 has 180 divisors, whose sum is σ = 8773543740. Its totient is φ = 764080128.

The previous prime is 2684617459. The next prime is 2684617511. The reversal of 2684617488 is 8847164862.

2684617488 is a `hidden beast` number, since 26 + 84 + 61 + 7 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 2236533264 = 21168^2 + 47292^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2377308 + ... + 2378436.

Almost surely, 2^2684617488 is an apocalyptic number.

2684617488 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 2684617488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386771870).

2684617488 is an abundant number, since it is smaller than the sum of its proper divisors (6088926252).

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

2684617488 is a wasteful number, since it uses less digits than its factorization.

2684617488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1478 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2684617488 is about 51813.2945101930. The cubic root of 2684617488 is about 1389.8271938100.

The spelling of 2684617488 in words is "two billion, six hundred eighty-four million, six hundred seventeen thousand, four hundred eighty-eight".