2504906711328 has 192 divisors, whose sum is σ = 7649798381568. Its totient is φ = 702859576320.

The previous prime is 2504906711261. The next prime is 2504906711339. The reversal of 2504906711328 is 8231176094052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26474601 + ... + 26569047.

It is an arithmetic number, because the mean of its divisors is an integer number (39842699904).

It is a 1-persistent number, because it is pandigital, but 2⋅2504906711328 = 5009813422656 is not.

Almost surely, 2^{2504906711328} is an apocalyptic number.

2504906711328 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 2504906711328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824899190784).

2504906711328 is an abundant number, since it is smaller than the sum of its proper divisors (5144891670240).

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

2504906711328 is a wasteful number, since it uses less digits than its factorization.

2504906711328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95175 (or 95167 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 2504906711328 in words is "two trillion, five hundred four billion, nine hundred six million, seven hundred eleven thousand, three hundred twenty-eight".