2504645742375 has 192 divisors, whose sum is σ = 5632809262080. Its totient is φ = 1084717008000.

The previous prime is 2504645742371. The next prime is 2504645742421. The reversal of 2504645742375 is 5732475464052.

2504645742375 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 64 + 574 + 2 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 2504645742375 - 2² = 2504645742371 is a prime.

It is a super-3 number, since 3×2504645742375³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504645742371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3729885 + ... + 4349865.

It is an arithmetic number, because the mean of its divisors is an integer number (29337548240).

Almost surely, 2^{2504645742375} is an apocalyptic number.

2504645742375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2504645742375 is an abundant number, since it is smaller than the sum of its proper divisors (3128163519705).

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

2504645742375 is an equidigital number, since it uses as much as digits as its factorization.

2504645742375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620037 (or 620015 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 2504645742375 in words is "two trillion, five hundred four billion, six hundred forty-five million, seven hundred forty-two thousand, three hundred seventy-five".