2824909668 has 60 divisors (see below), whose sum is σ = 8439860352. Its totient is φ = 807116400.

The previous prime is 2824909651. The next prime is 2824909739. The reversal of 2824909668 is 8669094282.

It is a happy number.

2824909668 is a `hidden beast` number, since 2 + 8 + 2 + 490 + 96 + 68 = 666.

It is a super-2 number, since 2×2824909668² = 15960229264719740448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 620508 + ... + 625043.

Almost surely, 2^2824909668 is an apocalyptic number.

2824909668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2824909668 is an abundant number, since it is smaller than the sum of its proper divisors (5614950684).

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

2824909668 is a wasteful number, since it uses less digits than its factorization.

2824909668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245574 (or 1245563 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2824909668 is about 53149.8792849052. The cubic root of 2824909668 is about 1413.6270763951.

The spelling of 2824909668 in words is "two billion, eight hundred twenty-four million, nine hundred nine thousand, six hundred sixty-eight".