2682933984 has 72 divisors (see below), whose sum is σ = 7645535352. Its totient is φ = 892442880.

The previous prime is 2682933983. The next prime is 2682933989. The reversal of 2682933984 is 4893392862.

It is a happy number.

2682933984 is a `hidden beast` number, since 268 + 293 + 3 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2682933984² = 14396269525004224512, which contains 22 as substring.

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 2682933984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682933983) 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 11 ways as a sum of consecutive naturals, for example, 131922 + ... + 150894.

It is an arithmetic number, because the mean of its divisors is an integer number (106187991).

Almost surely, 2^2682933984 is an apocalyptic number.

2682933984 is a gapful number since it is divisible by the number (24) 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 2682933984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822767676).

2682933984 is an abundant number, since it is smaller than the sum of its proper divisors (4962601368).

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

2682933984 is a wasteful number, since it uses less digits than its factorization.

2682933984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19480 (or 19469 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2682933984 is about 51797.0460933826. The cubic root of 2682933984 is about 1389.5366162376.

The spelling of 2682933984 in words is "two billion, six hundred eighty-two million, nine hundred thirty-three thousand, nine hundred eighty-four".