2682906408 has 768 divisors, whose sum is σ = 10479974400. Its totient is φ = 627056640.

The previous prime is 2682906407. The next prime is 2682906409. The reversal of 2682906408 is 8046092862.

It is an interprime number because it is at equal distance from previous prime (2682906407) and next prime (2682906409).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2682906403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72510966 + ... + 72511002.

It is an arithmetic number, because the mean of its divisors is an integer number (13645800).

Almost surely, 2^2682906408 is an apocalyptic number.

2682906408 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 2682906408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239987200).

2682906408 is an abundant number, since it is smaller than the sum of its proper divisors (7797067992).

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

2682906408 is a wasteful number, since it uses less digits than its factorization.

2682906408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2682906408 is about 51796.7798999127. The cubic root of 2682906408 is about 1389.5318555300.

The spelling of 2682906408 in words is "two billion, six hundred eighty-two million, nine hundred six thousand, four hundred eight".