20072524240 has 80 divisors (see below), whose sum is σ = 49440116880. Its totient is φ = 7552696320.

The previous prime is 20072524229. The next prime is 20072524243. The reversal of 20072524240 is 4242527002.

It can be written as a sum of positive squares in 8 ways, for example, as 6851203984 + 13221320256 = 82772^2 + 114984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20072524199 and 20072524208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20072524243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242196 + ... + 4246924.

It is an arithmetic number, because the mean of its divisors is an integer number (618001461).

Almost surely, 2^20072524240 is an apocalyptic number.

20072524240 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 20072524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24720058440).

20072524240 is an abundant number, since it is smaller than the sum of its proper divisors (29367592640).

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

20072524240 is a wasteful number, since it uses less digits than its factorization.

20072524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The spelling of 20072524240 in words is "twenty billion, seventy-two million, five hundred twenty-four thousand, two hundred forty".