2971920000 has 640 divisors, whose sum is σ = 11853705600. Its totient is φ = 645120000.

The previous prime is 2971919963. The next prime is 2971920013. The reversal of 2971920000 is 291792.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2971920000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48719970 + ... + 48720030.

It is an arithmetic number, because the mean of its divisors is an integer number (18521415).

Almost surely, 2^2971920000 is an apocalyptic number.

2971920000 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 2971920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926852800).

2971920000 is an abundant number, since it is smaller than the sum of its proper divisors (8881785600).

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

2971920000 is an equidigital number, since it uses as much as digits as its factorization.

2971920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2971920000 is about 54515.3189479801. The cubic root of 2971920000 is about 1437.7356387501.

The spelling of 2971920000 in words is "two billion, nine hundred seventy-one million, nine hundred twenty thousand".