2068456915224 has 768 divisors, whose sum is σ = 6907590144000. Its totient is φ = 546882969600.

The previous prime is 2068456915201. The next prime is 2068456915249. The reversal of 2068456915224 is 4225196548602.

2068456915224 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 4 + 569 + 1 + 52 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7632682209 + ... + 7632682479.

It is an arithmetic number, because the mean of its divisors is an integer number (8994258000).

Almost surely, 2^{2068456915224} is an apocalyptic number.

2068456915224 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 2068456915224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453795072000).

2068456915224 is an abundant number, since it is smaller than the sum of its proper divisors (4839133228776).

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

2068456915224 is a wasteful number, since it uses less digits than its factorization.

2068456915224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2068456915224 in words is "two trillion, sixty-eight billion, four hundred fifty-six million, nine hundred fifteen thousand, two hundred twenty-four".