2002624 has 56 divisors (see below), whose sum is σ = 4480560. Its totient is φ = 881664.

The previous prime is 2002621. The next prime is 2002643. The reversal of 2002624 is 4262002.

2002624 = 56² + 57² + ... + 183².

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2002598 and 2002607.

It is not an unprimeable number, because it can be changed into a prime (2002621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24087 + ... + 24169.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

2^2002624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280).

2002624 is an abundant number, since it is smaller than the sum of its proper divisors (2477936).

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

2002624 is a wasteful number, since it uses less digits than its factorization.

2002624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2002624 is about 1415.1409823760. The cubic root of 2002624 is about 126.0471814570.

Adding to 2002624 its reverse (4262002), we get a palindrome (6264626).

It can be divided in two parts, 200 and 2624, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 2002624 in words is "two million, two thousand, six hundred twenty-four".