2415584880 has 120 divisors (see below), whose sum is σ = 8122971168. Its totient is φ = 643312128.

The previous prime is 2415584863. The next prime is 2415584911. The reversal of 2415584880 is 884855142.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2415584880² = 11670100624969228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706054 + ... + 709466.

Almost surely, 2^2415584880 is an apocalyptic number.

2415584880 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 2415584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061485584).

2415584880 is an abundant number, since it is smaller than the sum of its proper divisors (5707386288).

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

2415584880 is a wasteful number, since it uses less digits than its factorization.

2415584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The square root of 2415584880 is about 49148.5999800605. The cubic root of 2415584880 is about 1341.7577141424.

The spelling of 2415584880 in words is "two billion, four hundred fifteen million, five hundred eighty-four thousand, eight hundred eighty".