24080004000 has 480 divisors, whose sum is σ = 95196877776. Its totient is φ = 5926348800.

The previous prime is 24080003993. The next prime is 24080004001. The reversal of 24080004000 is 40008042.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16548624 + 24063455376 = 4068^2 + 155124^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (24080004001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4209142 + ... + 4214858.

Almost surely, 2^24080004000 is an apocalyptic number.

24080004000 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 24080004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47598438888).

24080004000 is an abundant number, since it is smaller than the sum of its proper divisors (71116873776).

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

24080004000 is a wasteful number, since it uses less digits than its factorization.

24080004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 24080004000 in words is "twenty-four billion, eighty million, four thousand".