2973563520 has 128 divisors (see below), whose sum is σ = 9698927040. Its totient is φ = 774488064.

The previous prime is 2973563501. The next prime is 2973563543. The reversal of 2973563520 is 253653792.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64552 + ... + 100568.

Almost surely, 2^2973563520 is an apocalyptic number.

2973563520 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 2973563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849463520).

2973563520 is an abundant number, since it is smaller than the sum of its proper divisors (6725363520).

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

2973563520 is a wasteful number, since it uses less digits than its factorization.

2973563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36082 (or 36070 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 2973563520 is about 54530.3907926580. The cubic root of 2973563520 is about 1438.0006202915. Note that the first 3 decimals are identical.

The spelling of 2973563520 in words is "two billion, nine hundred seventy-three million, five hundred sixty-three thousand, five hundred twenty".