2315514000 has 320 divisors, whose sum is σ = 7873781760. Its totient is φ = 584640000.

The previous prime is 2315513953. The next prime is 2315514017. The reversal of 2315514000 is 4155132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10973895 + ... + 10974105.

It is an arithmetic number, because the mean of its divisors is an integer number (24605568).

Almost surely, 2^2315514000 is an apocalyptic number.

2315514000 is a gapful number since it is divisible by the number (20) 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 2315514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936890880).

2315514000 is an abundant number, since it is smaller than the sum of its proper divisors (5558267760).

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

2315514000 is a wasteful number, since it uses less digits than its factorization.

2315514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2315514000 is about 48119.7880294583. The cubic root of 2315514000 is about 1322.9673830420.

Adding to 2315514000 its reverse (4155132), we get a palindrome (2319669132).

The spelling of 2315514000 in words is "two billion, three hundred fifteen million, five hundred fourteen thousand".