2538629012304 has 320 divisors, whose sum is σ = 9479844679680. Its totient is φ = 630715092480.

The previous prime is 2538629012303. The next prime is 2538629012317. The reversal of 2538629012304 is 4032109268352.

2538629012304 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 629 + 0 + 12 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×2538629012304² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2538629012304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538629012303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894007 + ... + 2424150.

It is an arithmetic number, because the mean of its divisors is an integer number (29624514624).

Almost surely, 2^{2538629012304} is an apocalyptic number.

2538629012304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2538629012304 is an abundant number, since it is smaller than the sum of its proper divisors (6941215667376).

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

2538629012304 is a wasteful number, since it uses less digits than its factorization.

2538629012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318215 (or 3318203 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2538629012304 in words is "two trillion, five hundred thirty-eight billion, six hundred twenty-nine million, twelve thousand, three hundred four".