20100240000 has 240 divisors, whose sum is σ = 72280120770. Its totient is φ = 5359872000.

The previous prime is 20100239987. The next prime is 20100240019. The reversal of 20100240000 is 4200102.

It can be written as a sum of positive squares in 5 ways, for example, as 2872102464 + 17228137536 = 53592^2 + 131256^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 706042 + ... + 733958.

Almost surely, 2^20100240000 is an apocalyptic number.

20100240000 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 20100240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36140060385).

20100240000 is an abundant number, since it is smaller than the sum of its proper divisors (52179880770).

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

20100240000 is an equidigital number, since it uses as much as digits as its factorization.

20100240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27957 (or 27927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20100240000 its reverse (4200102), we get a palindrome (20104440102).

It can be divided in two parts, 20100 and 240000, that added together give a square (260100 = 510²).

The spelling of 20100240000 in words is "twenty billion, one hundred million, two hundred forty thousand".