2973982848 has 64 divisors (see below), whose sum is σ = 7957444320. Its totient is φ = 984074240.

The previous prime is 2973982841. The next prime is 2973982883. The reversal of 2973982848 is 8482893792.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2973982848² = 17689147960396382208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2973982791 and 2973982800.

It is not an unprimeable number, because it can be changed into a prime (2973982841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24343 + ... + 80873.

Almost surely, 2^2973982848 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 2973982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978722160).

2973982848 is an abundant number, since it is smaller than the sum of its proper divisors (4983461472).

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

2973982848 is a wasteful number, since it uses less digits than its factorization.

2973982848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56685 (or 56673 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 2973982848 is about 54534.2355589587. The cubic root of 2973982848 is about 1438.0682120971.

The spelling of 2973982848 in words is "two billion, nine hundred seventy-three million, nine hundred eighty-two thousand, eight hundred forty-eight".