2441124864 has 220 divisors, whose sum is σ = 7678297000. Its totient is φ = 770383872.

The previous prime is 2441124821. The next prime is 2441124937. The reversal of 2441124864 is 4684211442.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575162 + ... + 1576710.

It is an arithmetic number, because the mean of its divisors is an integer number (34901350).

Almost surely, 2^2441124864 is an apocalyptic number.

2441124864 is a gapful number since it is divisible by the number (24) 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 2441124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839148500).

2441124864 is an abundant number, since it is smaller than the sum of its proper divisors (5237172136).

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

2441124864 is a wasteful number, since it uses less digits than its factorization.

2441124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1573 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2441124864 is about 49407.7409319633. The cubic root of 2441124864 is about 1346.4699478469.

The spelling of 2441124864 in words is "two billion, four hundred forty-one million, one hundred twenty-four thousand, eight hundred sixty-four".