20241000 has 192 divisors, whose sum is σ = 74103120. Its totient is φ = 4953600.

The previous prime is 20240977. The next prime is 20241017. The reversal of 20241000 is 14202.

It is a Cunningham number, because it is equal to 4499²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 1004004 + 19236996 = 1002^2 + 4386^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116914 + ... + 117086.

Almost surely, 2^20241000 is an apocalyptic number.

20241000 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 20241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051560).

20241000 is an abundant number, since it is smaller than the sum of its proper divisors (53862120).

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

20241000 is a wasteful number, since it uses less digits than its factorization.

20241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

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

The square root of 20241000 is about 4498.9998888642. Note that the first 3 decimals coincide. The cubic root of 20241000 is about 272.5277024834.

Adding to 20241000 its reverse (14202), we get a palindrome (20255202).

The spelling of 20241000 in words is "twenty million, two hundred forty-one thousand".