2415029072 has 80 divisors (see below), whose sum is σ = 5045986560. Its totient is φ = 1116758016.

The previous prime is 2415029069. The next prime is 2415029077. The reversal of 2415029072 is 2709205142.

It is a super-3 number, since 3×2415029072³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415029077) 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 15 ways as a sum of consecutive naturals, for example, 2627429 + ... + 2628347.

It is an arithmetic number, because the mean of its divisors is an integer number (63074832).

Almost surely, 2^2415029072 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 2415029072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522993280).

2415029072 is an abundant number, since it is smaller than the sum of its proper divisors (2630957488).

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

2415029072 is a wasteful number, since it uses less digits than its factorization.

2415029072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2415029072 is about 49142.9452922797. The cubic root of 2415029072 is about 1341.6547967795.

The spelling of 2415029072 in words is "two billion, four hundred fifteen million, twenty-nine thousand, seventy-two".