2415788241984 has 224 divisors, whose sum is σ = 7661757600000. Its totient is φ = 742009171968.

The previous prime is 2415788241973. The next prime is 2415788242009. The reversal of 2415788241984 is 4891428875142.

2415788241984 is a `hidden beast` number, since 2 + 41 + 578 + 8 + 2 + 4 + 19 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12687517 + ... + 12876515.

It is an arithmetic number, because the mean of its divisors is an integer number (34204275000).

Almost surely, 2^{2415788241984} is an apocalyptic number.

2415788241984 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 2415788241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830878800000).

2415788241984 is an abundant number, since it is smaller than the sum of its proper divisors (5245969358016).

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

2415788241984 is a wasteful number, since it uses less digits than its factorization.

2415788241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189602 (or 189586 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 2415788241984 in words is "two trillion, four hundred fifteen billion, seven hundred eighty-eight million, two hundred forty-one thousand, nine hundred eighty-four".