2973336120 has 128 divisors (see below), whose sum is σ = 9948672000. Its totient is φ = 789886080.

The previous prime is 2973336103. The next prime is 2973336167. The reversal of 2973336120 is 216333792.

2973336120 is a `hidden beast` number, since 2 + 9 + 7 + 3 + 33 + 612 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 287601 + ... + 297759.

It is an arithmetic number, because the mean of its divisors is an integer number (77724000).

Almost surely, 2^2973336120 is an apocalyptic number.

2973336120 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 2973336120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974336000).

2973336120 is an abundant number, since it is smaller than the sum of its proper divisors (6975335880).

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

2973336120 is a wasteful number, since it uses less digits than its factorization.

2973336120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2973336120 is about 54528.3056769601. The cubic root of 2973336120 is about 1437.9639628517.

The spelling of 2973336120 in words is "two billion, nine hundred seventy-three million, three hundred thirty-six thousand, one hundred twenty".