20002412400 has 240 divisors, whose sum is σ = 65435335680. Its totient is φ = 5221555200.

The previous prime is 20002412399. The next prime is 20002412407. The reversal of 20002412400 is 421420002.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20002412400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002412407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19251081 + ... + 19252119.

It is an arithmetic number, because the mean of its divisors is an integer number (272647232).

Almost surely, 2^20002412400 is an apocalyptic number.

20002412400 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 20002412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32717667840).

20002412400 is an abundant number, since it is smaller than the sum of its proper divisors (45432923280).

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

20002412400 is a wasteful number, since it uses less digits than its factorization.

20002412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20002412400 its reverse (421420002), we get a palindrome (20423832402).

The spelling of 20002412400 in words is "twenty billion, two million, four hundred twelve thousand, four hundred".