20242000000 has 224 divisors, whose sum is σ = 52294252500. Its totient is φ = 7795200000.

The previous prime is 20241999989. The next prime is 20242000013. The reversal of 20242000000 is 24202.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 15697082944 + 4544917056 = 125288^2 + 67416^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57999826 + ... + 58000174.

Almost surely, 2^20242000000 is an apocalyptic number.

20242000000 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 20242000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147126250).

20242000000 is an abundant number, since it is smaller than the sum of its proper divisors (32052252500).

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

20242000000 is an frugal number, since it uses more digits than its factorization.

20242000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 20242000000 its reverse (24202), we get a palindrome (20242024202).

The spelling of 20242000000 in words is "twenty billion, two hundred forty-two million", and thus it is an aban number.