2503864628328 has 128 divisors (see below), whose sum is σ = 7222162072320. Its totient is φ = 708572282880.

The previous prime is 2503864628327. The next prime is 2503864628341. The reversal of 2503864628328 is 8238264683052.

It is a super-2 number, since 2×2503864628328² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2503864628327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28070776 + ... + 28159832.

It is an arithmetic number, because the mean of its divisors is an integer number (56423141190).

Almost surely, 2^{2503864628328} is an apocalyptic number.

2503864628328 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 2503864628328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611081036160).

2503864628328 is an abundant number, since it is smaller than the sum of its proper divisors (4718297443992).

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

2503864628328 is a wasteful number, since it uses less digits than its factorization.

2503864628328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90667 (or 90663 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 2503864628328 in words is "two trillion, five hundred three billion, eight hundred sixty-four million, six hundred twenty-eight thousand, three hundred twenty-eight".