2982460096 has 224 divisors, whose sum is σ = 7926750720. Its totient is φ = 1078272000.

The previous prime is 2982460081. The next prime is 2982460109. The reversal of 2982460096 is 6900642892.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 4962196 + ... + 4962796.

It is an arithmetic number, because the mean of its divisors is an integer number (35387280).

Almost surely, 2^2982460096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963375360).

2982460096 is an abundant number, since it is smaller than the sum of its proper divisors (4944290624).

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

2982460096 is a wasteful number, since it uses less digits than its factorization.

2982460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 2982460096 is about 54611.9043432840. The cubic root of 2982460096 is about 1439.4333058204.

The spelling of 2982460096 in words is "two billion, nine hundred eighty-two million, four hundred sixty thousand, ninety-six".