2467530240 has 480 divisors, whose sum is σ = 9404398080. Its totient is φ = 550158336.

The previous prime is 2467530239. The next prime is 2467530253. The reversal of 2467530240 is 420357642.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29729239 + ... + 29729321.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^2467530240 is an apocalyptic number.

2467530240 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 2467530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

2467530240 is an abundant number, since it is smaller than the sum of its proper divisors (6936867840).

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

2467530240 is an equidigital number, since it uses as much as digits as its factorization.

2467530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2467530240 is about 49674.2412121212. The cubic root of 2467530240 is about 1351.3074192807.

Adding to 2467530240 its reverse (420357642), we get a palindrome (2887887882).

The spelling of 2467530240 in words is "two billion, four hundred sixty-seven million, five hundred thirty thousand, two hundred forty".