2682212736 has 128 divisors (see below), whose sum is σ = 8164569600. Its totient is φ = 764264448.

The previous prime is 2682212717. The next prime is 2682212777. The reversal of 2682212736 is 6372122862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2682212736² = 14388530322321211392, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2682212694 and 2682212703.

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 15 ways as a sum of consecutive naturals, for example, 1178896 + ... + 1181168.

It is an arithmetic number, because the mean of its divisors is an integer number (63785700).

Almost surely, 2^2682212736 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 2682212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082284800).

2682212736 is an abundant number, since it is smaller than the sum of its proper divisors (5482356864).

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

2682212736 is a wasteful number, since it uses less digits than its factorization.

2682212736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2724 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 2682212736 is about 51790.0833751018. The cubic root of 2682212736 is about 1389.4120895899.

The spelling of 2682212736 in words is "two billion, six hundred eighty-two million, two hundred twelve thousand, seven hundred thirty-six".