2464057728 has 192 divisors, whose sum is σ = 7771579920. Its totient is φ = 743178240.

The previous prime is 2464057697. The next prime is 2464057777. The reversal of 2464057728 is 8277504642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4270176 + ... + 4270752.

Almost surely, 2^2464057728 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 2464057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885789960).

2464057728 is an abundant number, since it is smaller than the sum of its proper divisors (5307522192).

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

2464057728 is a wasteful number, since it uses less digits than its factorization.

2464057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2464057728 is about 49639.2760624085. The cubic root of 2464057728 is about 1350.6732312888.

The spelling of 2464057728 in words is "two billion, four hundred sixty-four million, fifty-seven thousand, seven hundred twenty-eight".