2415304480 has 48 divisors (see below), whose sum is σ = 5725742904. Its totient is φ = 962805760.

The previous prime is 2415304471. The next prime is 2415304487. The reversal of 2415304480 is 844035142.

It can be written as a sum of positive squares in 4 ways, for example, as 1695133584 + 720170896 = 41172^2 + 26836^2 .

It is a super-2 number, since 2×2415304480² = 11667391462216140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2415304487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21120 + ... + 72640.

Almost surely, 2^2415304480 is an apocalyptic number.

2415304480 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 2415304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862871452).

2415304480 is an abundant number, since it is smaller than the sum of its proper divisors (3310438424).

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

2415304480 is a wasteful number, since it uses less digits than its factorization.

2415304480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51829 (or 51821 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2415304480 is about 49145.7473236495. The cubic root of 2415304480 is about 1341.7057952573.

The spelling of 2415304480 in words is "two billion, four hundred fifteen million, three hundred four thousand, four hundred eighty".