2430704528728 has 96 divisors (see below), whose sum is σ = 5427096111360. Its totient is φ = 1017103348800.

The previous prime is 2430704528723. The next prime is 2430704528743. The reversal of 2430704528728 is 8278254070342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430704528723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44860453 + ... + 44914603.

It is an arithmetic number, because the mean of its divisors is an integer number (56532251160).

Almost surely, 2^{2430704528728} is an apocalyptic number.

2430704528728 is a gapful number since it is divisible by the number (28) 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 2430704528728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713548055680).

2430704528728 is an abundant number, since it is smaller than the sum of its proper divisors (2996391582632).

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

2430704528728 is a wasteful number, since it uses less digits than its factorization.

2430704528728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56877 (or 56866 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 52.

The spelling of 2430704528728 in words is "two trillion, four hundred thirty billion, seven hundred four million, five hundred twenty-eight thousand, seven hundred twenty-eight".