2413968597504 has 320 divisors, whose sum is σ = 7580924313600. Its totient is φ = 756293013504.

The previous prime is 2413968597493. The next prime is 2413968597569. The reversal of 2413968597504 is 4057958693142.

2413968597504 is a `hidden beast` number, since 2 + 4 + 1 + 39 + 6 + 8 + 5 + 97 + 504 = 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, 33321129 + ... + 33393495.

It is an arithmetic number, because the mean of its divisors is an integer number (23690388480).

It is a 1-persistent number, because it is pandigital, but 2⋅2413968597504 = 4827937195008 is not.

Almost surely, 2^{2413968597504} is an apocalyptic number.

2413968597504 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 2413968597504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790462156800).

2413968597504 is an abundant number, since it is smaller than the sum of its proper divisors (5166955716096).

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

2413968597504 is a wasteful number, since it uses less digits than its factorization.

2413968597504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72540 (or 72518 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2413968597504 in words is "two trillion, four hundred thirteen billion, nine hundred sixty-eight million, five hundred ninety-seven thousand, five hundred four".