20242450800 has 1200 divisors, whose sum is σ = 90721505952. Its totient is φ = 4246732800.

The previous prime is 20242450799. The next prime is 20242450819. The reversal of 20242450800 is 805424202.

It is a happy number.

20242450800 is a `hidden beast` number, since 202 + 4 + 2 + 450 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78764272 + ... + 78764528.

Almost surely, 2^20242450800 is an apocalyptic number.

20242450800 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 20242450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360752976).

20242450800 is an abundant number, since it is smaller than the sum of its proper divisors (70479055152).

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

20242450800 is a wasteful number, since it uses less digits than its factorization.

20242450800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 20242450800 in words is "twenty billion, two hundred forty-two million, four hundred fifty thousand, eight hundred".