2604006240 has 384 divisors, whose sum is σ = 9549550080. Its totient is φ = 589824000.

The previous prime is 2604006199. The next prime is 2604006253. The reversal of 2604006240 is 426004062.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2604006240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10132192 + ... + 10132448.

It is an arithmetic number, because the mean of its divisors is an integer number (24868620).

Almost surely, 2^2604006240 is an apocalyptic number.

2604006240 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 2604006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774775040).

2604006240 is an abundant number, since it is smaller than the sum of its proper divisors (6945543840).

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

2604006240 is a wasteful number, since it uses less digits than its factorization.

2604006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2604006240 is about 51029.4644298762. The cubic root of 2604006240 is about 1375.7747682096.

The spelling of 2604006240 in words is "two billion, six hundred four million, six thousand, two hundred forty".