2661682488 has 64 divisors (see below), whose sum is σ = 7013001600. Its totient is φ = 839502720.

The previous prime is 2661682487. The next prime is 2661682489. The reversal of 2661682488 is 8842861662.

It is an interprime number because it is at equal distance from previous prime (2661682487) and next prime (2661682489).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2661682488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661682483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425995 + ... + 432197.

It is an arithmetic number, because the mean of its divisors is an integer number (109578150).

Almost surely, 2^2661682488 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 2661682488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506500800).

2661682488 is an abundant number, since it is smaller than the sum of its proper divisors (4351319112).

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

2661682488 is a wasteful number, since it uses less digits than its factorization.

2661682488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7168 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 2661682488 is about 51591.4962760337. The cubic root of 2661682488 is about 1385.8580507578.

The spelling of 2661682488 in words is "two billion, six hundred sixty-one million, six hundred eighty-two thousand, four hundred eighty-eight".