2415270000 has 400 divisors, whose sum is σ = 9176162688. Its totient is φ = 539520000.

The previous prime is 2415269971. The next prime is 2415270001. The reversal of 2415270000 is 725142.

2415270000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415270001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4289719 + ... + 4290281.

Almost surely, 2^2415270000 is an apocalyptic number.

2415270000 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 2415270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588081344).

2415270000 is an abundant number, since it is smaller than the sum of its proper divisors (6760892688).

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

2415270000 is a wasteful number, since it uses less digits than its factorization.

2415270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2415270000 is about 49145.3965290748. The cubic root of 2415270000 is about 1341.6994106605.

Adding to 2415270000 its reverse (725142), we get a palindrome (2415995142).

The spelling of 2415270000 in words is "two billion, four hundred fifteen million, two hundred seventy thousand".