2415530000 has 200 divisors, whose sum is σ = 6674682168. Its totient is φ = 838656000.

The previous prime is 2415529997. The next prime is 2415530003. The reversal of 2415530000 is 355142.

It is an interprime number because it is at equal distance from previous prime (2415529997) and next prime (2415530003).

It can be written as a sum of positive squares in 20 ways, for example, as 2060433664 + 355096336 = 45392^2 + 18844^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2415530003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2209454 + ... + 2210546.

Almost surely, 2^2415530000 is an apocalyptic number.

2415530000 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 2415530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337341084).

2415530000 is an abundant number, since it is smaller than the sum of its proper divisors (4259152168).

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

2415530000 is a wasteful number, since it uses less digits than its factorization.

2415530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2415530000 is about 49148.0416700401. The cubic root of 2415530000 is about 1341.7475528737.

Adding to 2415530000 its reverse (355142), we get a palindrome (2415885142).

The spelling of 2415530000 in words is "two billion, four hundred fifteen million, five hundred thirty thousand".