2973070080 has 216 divisors, whose sum is σ = 10328004960. Its totient is φ = 789626880.

The previous prime is 2973070073. The next prime is 2973070081. The reversal of 2973070080 is 800703792.

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

It is not an unprimeable number, because it can be changed into a prime (2973070081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4711365 + ... + 4711995.

Almost surely, 2^2973070080 is an apocalyptic number.

2973070080 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 2973070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164002480).

2973070080 is an abundant number, since it is smaller than the sum of its proper divisors (7354934880).

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

2973070080 is a wasteful number, since it uses less digits than its factorization.

2973070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2973070080 is about 54525.8661554312. The cubic root of 2973070080 is about 1437.9210741763.

The spelling of 2973070080 in words is "two billion, nine hundred seventy-three million, seventy thousand, eighty".