2415920024 has 64 divisors (see below), whose sum is σ = 5399439360. Its totient is φ = 991595520.

The previous prime is 2415920021. The next prime is 2415920027. The reversal of 2415920024 is 4200295142.

It is an interprime number because it is at equal distance from previous prime (2415920021) and next prime (2415920027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415920021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161219 + ... + 175565.

It is an arithmetic number, because the mean of its divisors is an integer number (84366240).

Almost surely, 2^2415920024 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 2415920024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699719680).

2415920024 is an abundant number, since it is smaller than the sum of its proper divisors (2983519336).

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

2415920024 is a wasteful number, since it uses less digits than its factorization.

2415920024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488 (or 14484 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2415920024 is about 49152.0093587231. The cubic root of 2415920024 is about 1341.8197641599.

The spelling of 2415920024 in words is "two billion, four hundred fifteen million, nine hundred twenty thousand, twenty-four".