20241418100 has 72 divisors (see below), whose sum is σ = 44707013568. Its totient is φ = 7953120000.

The previous prime is 20241418073. The next prime is 20241418103. The reversal of 20241418100 is 181414202.

It is a super-2 number, since 2×20241418100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241418103) 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, 1826777 + ... + 1837823.

It is an arithmetic number, because the mean of its divisors is an integer number (620930744).

Almost surely, 2^20241418100 is an apocalyptic number.

20241418100 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 20241418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353506784).

20241418100 is an abundant number, since it is smaller than the sum of its proper divisors (24465595468).

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

20241418100 is a wasteful number, since it uses less digits than its factorization.

20241418100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11385 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 20241418100 in words is "twenty billion, two hundred forty-one million, four hundred eighteen thousand, one hundred".