20240976000 has 512 divisors, whose sum is σ = 77538539520. Its totient is φ = 4575129600.

The previous prime is 20240975933. The next prime is 20240976001. The reversal of 20240976000 is 67904202.

It is a happy number.

It is a super-3 number, since 3×20240976000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20240976001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35951719 + ... + 35952281.

It is an arithmetic number, because the mean of its divisors is an integer number (151442460).

Almost surely, 2^20240976000 is an apocalyptic number.

20240976000 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 20240976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38769269760).

20240976000 is an abundant number, since it is smaller than the sum of its proper divisors (57297563520).

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

20240976000 is a wasteful number, since it uses less digits than its factorization.

20240976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 20240976000 in words is "twenty billion, two hundred forty million, nine hundred seventy-six thousand".