2820624 has 20 divisors (see below), whose sum is σ = 7286736. Its totient is φ = 940192.

The previous prime is 2820619. The next prime is 2820641. The reversal of 2820624 is 4260282.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2820594 and 2820603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29334 + ... + 29429.

2^2820624 is an apocalyptic number.

2820624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2820624 is an abundant number, since it is smaller than the sum of its proper divisors (4466112).

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

2820624 is a wasteful number, since it uses less digits than its factorization.

2820624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58774 (or 58768 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2820624 is about 1679.4713453941. The cubic root of 2820624 is about 141.2911843778.

The spelling of 2820624 in words is "two million, eight hundred twenty thousand, six hundred twenty-four".