264020400024 has 32 divisors (see below), whose sum is σ = 662560715520. Its totient is φ = 87672171296.

The previous prime is 264020400011. The next prime is 264020400079. The reversal of 264020400024 is 420004020462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 264020399967 and 264020400003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20907852 + ... + 20920475.

It is an arithmetic number, because the mean of its divisors is an integer number (20705022360).

Almost surely, 2^264020400024 is an apocalyptic number.

264020400024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264020400024 is an abundant number, since it is smaller than the sum of its proper divisors (398540315496).

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

264020400024 is a wasteful number, since it uses less digits than its factorization.

264020400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41828599 (or 41828595 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 264020400024 its reverse (420004020462), we get a palindrome (684024420486).

The spelling of 264020400024 in words is "two hundred sixty-four billion, twenty million, four hundred thousand, twenty-four".