20024807040 has 640 divisors, whose sum is σ = 82523548800. Its totient is φ = 4532723712.

The previous prime is 20024807021. The next prime is 20024807063. The reversal of 20024807040 is 4070842002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20024806995 and 20024807013.

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 79 ways as a sum of consecutive naturals, for example, 50440122 + ... + 50440518.

It is an arithmetic number, because the mean of its divisors is an integer number (128943045).

Almost surely, 2^20024807040 is an apocalyptic number.

20024807040 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 20024807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261774400).

20024807040 is an abundant number, since it is smaller than the sum of its proper divisors (62498741760).

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

20024807040 is a wasteful number, since it uses less digits than its factorization.

20024807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 20024807040 in words is "twenty billion, twenty-four million, eight hundred seven thousand, forty".