2503106676324 has 144 divisors (see below), whose sum is σ = 6465785180400. Its totient is φ = 816343216128.

The previous prime is 2503106676289. The next prime is 2503106676347. The reversal of 2503106676324 is 4236766013052.

2503106676324 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 1 + 0 + 6 + 6 + 7 + 632 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 154581076224 + 2348525600100 = 393168^2 + 1532490^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2503106676324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139137522 + ... + 139155510.

It is an arithmetic number, because the mean of its divisors is an integer number (44901285975).

Almost surely, 2^{2503106676324} 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 2503106676324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232892590200).

2503106676324 is an abundant number, since it is smaller than the sum of its proper divisors (3962678504076).

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

2503106676324 is a wasteful number, since it uses less digits than its factorization.

2503106676324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18542 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2503106676324 in words is "two trillion, five hundred three billion, one hundred six million, six hundred seventy-six thousand, three hundred twenty-four".