2820624024 has 32 divisors (see below), whose sum is σ = 7422696000. Its totient is φ = 890723232.

The previous prime is 2820624017. The next prime is 2820624041. The reversal of 2820624024 is 4204260282.

It is a junction number, because it is equal to n+sod(n) for n = 2820623982 and 2820624000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3092334 + ... + 3093245.

It is an arithmetic number, because the mean of its divisors is an integer number (231959250).

Almost surely, 2^2820624024 is an apocalyptic number.

2820624024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2820624024 is an abundant number, since it is smaller than the sum of its proper divisors (4602071976).

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

2820624024 is a wasteful number, since it uses less digits than its factorization.

2820624024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185607 (or 6185603 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2820624024 is about 53109.5473902763. The cubic root of 2820624024 is about 1412.9118477849.

The spelling of 2820624024 in words is "two billion, eight hundred twenty million, six hundred twenty-four thousand, twenty-four".