20034002400 has 72 divisors (see below), whose sum is σ = 65210685624. Its totient is φ = 5342400000.

The previous prime is 20034002389. The next prime is 20034002407. The reversal of 20034002400 is 420043002.

It is a happy number.

It is a super-2 number, since 2×20034002400² (a number of 21 digits) contains 22 as substring.

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 20034002400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4171351 + ... + 4176150.

It is an arithmetic number, because the mean of its divisors is an integer number (905703967).

Almost surely, 2^20034002400 is an apocalyptic number.

20034002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034002400 is an abundant number, since it is smaller than the sum of its proper divisors (45176683224).

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

20034002400 is a wasteful number, since it uses less digits than its factorization.

20034002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347524 (or 8347511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20034002400 its reverse (420043002), we get a palindrome (20454045402).

The spelling of 20034002400 in words is "twenty billion, thirty-four million, two thousand, four hundred".