20002622400 has 504 divisors, whose sum is σ = 77447089200. Its totient is φ = 4877107200.

The previous prime is 20002622389. The next prime is 20002622411. The reversal of 20002622400 is 422620002.

It is a happy number.

20002622400 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 622 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20002622389) and next prime (20002622411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7933140 + ... + 7935660.

Almost surely, 2^20002622400 is an apocalyptic number.

20002622400 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 20002622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38723544600).

20002622400 is an abundant number, since it is smaller than the sum of its proper divisors (57444466800).

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

20002622400 is a wasteful number, since it uses less digits than its factorization.

20002622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

It can be divided in two parts, 2000 and 2622400, that added together give a square (2624400 = 1620²).

The spelling of 20002622400 in words is "twenty billion, two million, six hundred twenty-two thousand, four hundred".