2468667064500 has 2304 divisors, whose sum is σ = 10917099648000. Its totient is φ = 475517952000.

The previous prime is 2468667064499. The next prime is 2468667064571. The reversal of 2468667064500 is 54607668642.

2468667064500 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 6 + 6 + 70 + 64 + 500 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4738324240 + ... + 4738324760.

It is an arithmetic number, because the mean of its divisors is an integer number (4738324500).

Almost surely, 2^{2468667064500} is an apocalyptic number.

2468667064500 is a gapful number since it is divisible by the number (20) 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 2468667064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458549824000).

2468667064500 is an abundant number, since it is smaller than the sum of its proper divisors (8448432583500).

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

2468667064500 is a wasteful number, since it uses less digits than its factorization.

2468667064500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2468667064500 in words is "two trillion, four hundred sixty-eight billion, six hundred sixty-seven million, sixty-four thousand, five hundred".