2973728520 has 192 divisors, whose sum is σ = 11170224000. Its totient is φ = 672021504.

The previous prime is 2973728503. The next prime is 2973728531. The reversal of 2973728520 is 258273792.

2973728520 is a `hidden beast` number, since 2 + 97 + 37 + 2 + 8 + 520 = 666.

It is a super-2 number, since 2×2973728520² = 17686122621322780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217651 + ... + 230909.

It is an arithmetic number, because the mean of its divisors is an integer number (58178250).

Almost surely, 2^2973728520 is an apocalyptic number.

2973728520 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 2973728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585112000).

2973728520 is an abundant number, since it is smaller than the sum of its proper divisors (8196495480).

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

2973728520 is a wasteful number, since it uses less digits than its factorization.

2973728520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13372 (or 13365 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2973728520 is about 54531.9036894917. The cubic root of 2973728520 is about 1438.0272175277.

The spelling of 2973728520 in words is "two billion, nine hundred seventy-three million, seven hundred twenty-eight thousand, five hundred twenty".