20002010400 has 252 divisors, whose sum is σ = 73213505442. Its totient is φ = 5333713920.

The previous prime is 20002010389. The next prime is 20002010411. The reversal of 20002010400 is 401020002.

It is an interprime number because it is at equal distance from previous prime (20002010389) and next prime (20002010411).

It can be written as a sum of positive squares in 3 ways, for example, as 18724090896 + 1277919504 = 136836^2 + 35748^2 .

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 41 ways as a sum of consecutive naturals, for example, 566052 + ... + 600348.

Almost surely, 2^20002010400 is an apocalyptic number.

20002010400 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 20002010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36606752721).

20002010400 is an abundant number, since it is smaller than the sum of its proper divisors (53211495042).

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

20002010400 is an equidigital number, since it uses as much as digits as its factorization.

20002010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34335 (or 34307 counting only the distinct ones).

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

Adding to 20002010400 its reverse (401020002), we get a palindrome (20403030402).

The spelling of 20002010400 in words is "twenty billion, two million, ten thousand, four hundred".