2504627964384 has 576 divisors, whose sum is σ = 8516946493440. Its totient is φ = 638134640640.

The previous prime is 2504627964361. The next prime is 2504627964401. The reversal of 2504627964384 is 4834697264052.

It is a happy number.

2504627964384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2504627964384² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1958269857 + ... + 1958271135.

It is an arithmetic number, because the mean of its divisors is an integer number (14786365440).

Almost surely, 2^{2504627964384} is an apocalyptic number.

2504627964384 is a gapful number since it is divisible by the number (24) 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 2504627964384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258473246720).

2504627964384 is an abundant number, since it is smaller than the sum of its proper divisors (6012318529056).

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

2504627964384 is a wasteful number, since it uses less digits than its factorization.

2504627964384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 2504627964384 in words is "two trillion, five hundred four billion, six hundred twenty-seven million, nine hundred sixty-four thousand, three hundred eighty-four".