24142030000 has 400 divisors, whose sum is σ = 67210510752. Its totient is φ = 8320000000.

The previous prime is 24142029937. The next prime is 24142030013. The reversal of 24142030000 is 3024142.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×24142030000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 239029950 + ... + 239030050.

Almost surely, 2^24142030000 is an apocalyptic number.

24142030000 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 24142030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605255376).

24142030000 is an abundant number, since it is smaller than the sum of its proper divisors (43068480752).

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

24142030000 is a wasteful number, since it uses less digits than its factorization.

24142030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 24142030000 its reverse (3024142), we get a palindrome (24145054142).

The spelling of 24142030000 in words is "twenty-four billion, one hundred forty-two million, thirty thousand".