2315484000 has 144 divisors (see below), whose sum is σ = 8217780480. Its totient is φ = 617452800.

The previous prime is 2315483987. The next prime is 2315484011. The reversal of 2315484000 is 4845132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2315484000² = 10722932308512000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3841 + ... + 68159.

It is an arithmetic number, because the mean of its divisors is an integer number (57067920).

Almost surely, 2^2315484000 is an apocalyptic number.

2315484000 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 2315484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108890240).

2315484000 is an abundant number, since it is smaller than the sum of its proper divisors (5902296480).

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

2315484000 is a wasteful number, since it uses less digits than its factorization.

2315484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64350 (or 64329 counting only the distinct ones).

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

The square root of 2315484000 is about 48119.4763063772. The cubic root of 2315484000 is about 1322.9616695240.

The spelling of 2315484000 in words is "two billion, three hundred fifteen million, four hundred eighty-four thousand".