2315354727504 has 1280 divisors, whose sum is σ = 8435460096000. Its totient is φ = 540773646336.

The previous prime is 2315354727493. The next prime is 2315354727509. The reversal of 2315354727504 is 4057274535132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315354727509) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6109115187 + ... + 6109115565.

It is an arithmetic number, because the mean of its divisors is an integer number (6590203200).

Almost surely, 2^{2315354727504} is an apocalyptic number.

2315354727504 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 2315354727504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217730048000).

2315354727504 is an abundant number, since it is smaller than the sum of its proper divisors (6120105368496).

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

2315354727504 is a wasteful number, since it uses less digits than its factorization.

2315354727504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 2315354727504 in words is "two trillion, three hundred fifteen billion, three hundred fifty-four million, seven hundred twenty-seven thousand, five hundred four".