24132002010 has 128 divisors (see below), whose sum is σ = 62870826240. Its totient is φ = 5905760256.

The previous prime is 24132002009. The next prime is 24132002023. The reversal of 24132002010 is 1020023142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3309829 + ... + 3317111.

It is an arithmetic number, because the mean of its divisors is an integer number (491178330).

Almost surely, 2^24132002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24132002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435413120).

24132002010 is an abundant number, since it is smaller than the sum of its proper divisors (38738824230).

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

24132002010 is a wasteful number, since it uses less digits than its factorization.

24132002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7472.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 24132002010 its reverse (1020023142), we get a palindrome (25152025152).

The spelling of 24132002010 in words is "twenty-four billion, one hundred thirty-two million, two thousand, ten".