2415129264 has 80 divisors (see below), whose sum is σ = 6962872800. Its totient is φ = 801494784.

The previous prime is 2415129247. The next prime is 2415129287. The reversal of 2415129264 is 4629215142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 86722 + ... + 111134.

It is an arithmetic number, because the mean of its divisors is an integer number (87035910).

Almost surely, 2^2415129264 is an apocalyptic number.

2415129264 is a gapful number since it is divisible by the number (24) 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 2415129264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481436400).

2415129264 is an abundant number, since it is smaller than the sum of its proper divisors (4547743536).

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

2415129264 is a wasteful number, since it uses less digits than its factorization.

2415129264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24659 (or 24647 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2415129264 is about 49143.9646752274. The cubic root of 2415129264 is about 1341.6733502095.

The spelling of 2415129264 in words is "two billion, four hundred fifteen million, one hundred twenty-nine thousand, two hundred sixty-four".