1824111264 has 96 divisors (see below), whose sum is σ = 5104512000. Its totient is φ = 568698624.

The previous prime is 1824111253. The next prime is 1824111277. The reversal of 1824111264 is 4621114281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137767 + ... + 150425.

It is an arithmetic number, because the mean of its divisors is an integer number (53172000).

Almost surely, 2^1824111264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1824111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552256000).

1824111264 is an abundant number, since it is smaller than the sum of its proper divisors (3280400736).

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

1824111264 is a wasteful number, since it uses less digits than its factorization.

1824111264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12770 (or 12762 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1824111264 is about 42709.6155918079. The cubic root of 1824111264 is about 1221.8477920861.

The spelling of 1824111264 in words is "one billion, eight hundred twenty-four million, one hundred eleven thousand, two hundred sixty-four".