20024294400 has 396 divisors, whose sum is σ = 78224205384. Its totient is φ = 4853760000.

The previous prime is 20024294387. The next prime is 20024294413. The reversal of 20024294400 is 449242002.

It is an interprime number because it is at equal distance from previous prime (20024294387) and next prime (20024294413).

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2530450 + ... + 2538350.

Almost surely, 2^20024294400 is an apocalyptic number.

20024294400 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 20024294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39112102692).

20024294400 is an abundant number, since it is smaller than the sum of its proper divisors (58199910984).

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

20024294400 is a wasteful number, since it uses less digits than its factorization.

20024294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20024294400 in words is "twenty billion, twenty-four million, two hundred ninety-four thousand, four hundred".