2315041414002 has 96 divisors (see below), whose sum is σ = 5370198912000. Its totient is φ = 718231847424.

The previous prime is 2315041413991. The next prime is 2315041414013. The reversal of 2315041414002 is 2004141405132.

2315041414002 is a `hidden beast` number, since 2 + 3 + 1 + 504 + 14 + 140 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2315041413991) and next prime (2315041414013).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10237999 + ... + 10461677.

It is an arithmetic number, because the mean of its divisors is an integer number (55939572000).

Almost surely, 2^{2315041414002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2315041414002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685099456000).

2315041414002 is an abundant number, since it is smaller than the sum of its proper divisors (3055157497998).

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

2315041414002 is a wasteful number, since it uses less digits than its factorization.

2315041414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224080 (or 224077 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2315041414002 its reverse (2004141405132), we get a palindrome (4319182819134).

The spelling of 2315041414002 in words is "two trillion, three hundred fifteen billion, forty-one million, four hundred fourteen thousand, two".