2984340480 has 352 divisors, whose sum is σ = 11036113920. Its totient is φ = 680263680.

The previous prime is 2984340473. The next prime is 2984340503. The reversal of 2984340480 is 840434892.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2871801 + ... + 2872839.

Almost surely, 2^2984340480 is an apocalyptic number.

2984340480 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 2984340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518056960).

2984340480 is an abundant number, since it is smaller than the sum of its proper divisors (8051773440).

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

2984340480 is a wasteful number, since it uses less digits than its factorization.

2984340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2984340480 is about 54629.1175107195. The cubic root of 2984340480 is about 1439.7357539819.

The spelling of 2984340480 in words is "two billion, nine hundred eighty-four million, three hundred forty thousand, four hundred eighty".