2824680006428 has 24 divisors (see below), whose sum is σ = 5649428044512. Its totient is φ = 1210562567424.

The previous prime is 2824680006419. The next prime is 2824680006479. The reversal of 2824680006428 is 8246000864282.

It is a super-2 number, since 2×2824680006428² (a number of 26 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1947800 + ... + 3072992.

It is an arithmetic number, because the mean of its divisors is an integer number (235392835188).

Almost surely, 2^{2824680006428} is an apocalyptic number.

2824680006428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2824680006428 is an abundant number, since it is smaller than the sum of its proper divisors (2824748038084).

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

2824680006428 is a wasteful number, since it uses less digits than its factorization.

2824680006428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214861 (or 1214859 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 2824680006428 in words is "two trillion, eight hundred twenty-four billion, six hundred eighty million, six thousand, four hundred twenty-eight".