2430960480 has 576 divisors, whose sum is σ = 9510359040. Its totient is φ = 561254400.

The previous prime is 2430960463. The next prime is 2430960481. The reversal of 2430960480 is 840690342.

It is a happy number.

2430960480 is a `hidden beast` number, since 2 + 43 + 0 + 9 + 604 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430960481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34238845 + ... + 34238915.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^2430960480 is an apocalyptic number.

2430960480 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 2430960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2430960480 is an abundant number, since it is smaller than the sum of its proper divisors (7079398560).

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

2430960480 is a wasteful number, since it uses less digits than its factorization.

2430960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2430960480 is about 49304.7713715417. The cubic root of 2430960480 is about 1344.5985323067.

The spelling of 2430960480 in words is "two billion, four hundred thirty million, nine hundred sixty thousand, four hundred eighty".