2640509424 has 120 divisors (see below), whose sum is σ = 8473600512. Its totient is φ = 751916160.

The previous prime is 2640509419. The next prime is 2640509437. The reversal of 2640509424 is 4249050462.

2640509424 is a `hidden beast` number, since 2 + 640 + 5 + 0 + 9 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 309277 + ... + 317699.

Almost surely, 2^2640509424 is an apocalyptic number.

2640509424 is a gapful number since it is divisible by the number (24) 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 2640509424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236800256).

2640509424 is an abundant number, since it is smaller than the sum of its proper divisors (5833091088).

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

2640509424 is a wasteful number, since it uses less digits than its factorization.

2640509424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2640509424 is about 51385.8874011143. The cubic root of 2640509424 is about 1382.1735376445.

Adding to 2640509424 its reverse (4249050462), we get a palindrome (6889559886).

The spelling of 2640509424 in words is "two billion, six hundred forty million, five hundred nine thousand, four hundred twenty-four".