2973354720 has 384 divisors, whose sum is σ = 11069291520. Its totient is φ = 656916480.

The previous prime is 2973354697. The next prime is 2973354773. The reversal of 2973354720 is 274533792.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18241359 + ... + 18241521.

It is an arithmetic number, because the mean of its divisors is an integer number (28826280).

Almost surely, 2^2973354720 is an apocalyptic number.

2973354720 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 2973354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534645760).

2973354720 is an abundant number, since it is smaller than the sum of its proper divisors (8095936800).

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

2973354720 is a wasteful number, since it uses less digits than its factorization.

2973354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 2973354720 is about 54528.4762303147. The cubic root of 2973354720 is about 1437.9669612877.

The spelling of 2973354720 in words is "two billion, nine hundred seventy-three million, three hundred fifty-four thousand, seven hundred twenty".