2004746240 has 288 divisors, whose sum is σ = 6039774720. Its totient is φ = 622854144.

The previous prime is 2004746201. The next prime is 2004746243. The reversal of 2004746240 is 426474002.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004746243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87162869 + ... + 87162891.

It is an arithmetic number, because the mean of its divisors is an integer number (20971440).

Almost surely, 2^2004746240 is an apocalyptic number.

2004746240 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 2004746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019887360).

2004746240 is an abundant number, since it is smaller than the sum of its proper divisors (4035028480).

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

2004746240 is an frugal number, since it uses more digits than its factorization.

2004746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 2004746240 is about 44774.3926815317. The cubic root of 2004746240 is about 1260.9169104916.

The spelling of 2004746240 in words is "two billion, four million, seven hundred forty-six thousand, two hundred forty".