20202061824 has 408 divisors, whose sum is σ = 69928999920. Its totient is φ = 5747245056.

The previous prime is 20202061823. The next prime is 20202061871. The reversal of 20202061824 is 42816020202.

It is a happy number.

20202061824 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 20 + 618 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20202061823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86704012 + ... + 86704244.

Almost surely, 2^20202061824 is an apocalyptic number.

20202061824 is a gapful number since it is divisible by the number (24) 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 20202061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34964499960).

20202061824 is an abundant number, since it is smaller than the sum of its proper divisors (49726938096).

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

20202061824 is an frugal number, since it uses more digits than its factorization.

20202061824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20202061824 in words is "twenty billion, two hundred two million, sixty-one thousand, eight hundred twenty-four".