2415329352 has 96 divisors (see below), whose sum is σ = 6768248760. Its totient is φ = 777600000.

The previous prime is 2415329339. The next prime is 2415329353. The reversal of 2415329352 is 2539235142.

It can be written as a sum of positive squares in 4 ways, for example, as 2415329316 + 36 = 49146^2 + 6^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2415329353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294102 + ... + 302202.

Almost surely, 2^2415329352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415329352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384124380).

2415329352 is an abundant number, since it is smaller than the sum of its proper divisors (4352919408).

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

2415329352 is a wasteful number, since it uses less digits than its factorization.

2415329352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255 (or 8248 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2415329352 is about 49146.0003662556. Note that the first 3 decimals coincide. The cubic root of 2415329352 is about 1341.7104007211.

Subtracting from 2415329352 its sum of digits (36), we obtain a square (2415329316 = 49146²).

The spelling of 2415329352 in words is "two billion, four hundred fifteen million, three hundred twenty-nine thousand, three hundred fifty-two".