2682211392 has 378 divisors, whose sum is σ = 9344260458. Its totient is φ = 733372416.

The previous prime is 2682211391. The next prime is 2682211409. The reversal of 2682211392 is 2931122862.

It is a happy number.

2682211392 is a `hidden beast` number, since 268 + 2 + 2 + 1 + 1 + 392 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22127616 + 2660083776 = 4704^2 + 51576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2682211391) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 23736328 + ... + 23736440.

Almost surely, 2^2682211392 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 2682211392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672130229).

2682211392 is an abundant number, since it is smaller than the sum of its proper divisors (6662049066).

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

2682211392 is a wasteful number, since it uses less digits than its factorization.

2682211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 154 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2682211392 is about 51790.0703996432. The cubic root of 2682211392 is about 1389.4118575216.

The spelling of 2682211392 in words is "two billion, six hundred eighty-two million, two hundred eleven thousand, three hundred ninety-two".