20102000240 has 80 divisors (see below), whose sum is σ = 53501099520. Its totient is φ = 6880861440.

The previous prime is 20102000203. The next prime is 20102000279. The reversal of 20102000240 is 4200020102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317645 + ... + 375635.

It is an arithmetic number, because the mean of its divisors is an integer number (668763744).

Almost surely, 2^20102000240 is an apocalyptic number.

20102000240 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 20102000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26750549760).

20102000240 is an abundant number, since it is smaller than the sum of its proper divisors (33399099280).

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

20102000240 is a wasteful number, since it uses less digits than its factorization.

20102000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58630 (or 58624 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20102000240 its reverse (4200020102), we get a palindrome (24302020342).

The spelling of 20102000240 in words is "twenty billion, one hundred two million, two hundred forty", and thus it is an aban number.