2415471520 has 384 divisors, whose sum is σ = 7942717440. Its totient is φ = 670187520.

The previous prime is 2415471491. The next prime is 2415471529. The reversal of 2415471520 is 251745142.

It is a super-2 number, since 2×2415471520² = 11669005327862220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2415471529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3979057 + ... + 3979663.

It is an arithmetic number, because the mean of its divisors is an integer number (20684160).

Almost surely, 2^2415471520 is an apocalyptic number.

2415471520 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 2415471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971358720).

2415471520 is an abundant number, since it is smaller than the sum of its proper divisors (5527245920).

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

2415471520 is a wasteful number, since it uses less digits than its factorization.

2415471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 2415471520 is about 49147.4467292046. The cubic root of 2415471520 is about 1341.7367248801.

The spelling of 2415471520 in words is "two billion, four hundred fifteen million, four hundred seventy-one thousand, five hundred twenty".