2624040 has 96 divisors (see below), whose sum is σ = 8803080. Its totient is φ = 677376.

The previous prime is 2624029. The next prime is 2624051. The reversal of 2624040 is 404262.

2624040 is a `hidden beast` number, since 2 + 624 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2624029) and next prime (2624051).

It can be written as a sum of positive squares in 4 ways, for example, as 2604996 + 19044 = 1614^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13222 + ... + 13418.

2^2624040 is an apocalyptic number.

2624040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2624040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401540).

2624040 is an abundant number, since it is smaller than the sum of its proper divisors (6179040).

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

2624040 is a wasteful number, since it uses less digits than its factorization.

2624040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2624040 is about 1619.8888850782. Note that the first 5 decimals coincide. The cubic root of 2624040 is about 137.9293904689.

The spelling of 2624040 in words is "two million, six hundred twenty-four thousand, forty".