2406010068000 has 4608 divisors, whose sum is σ = 12264559017984. Its totient is φ = 447897600000.

The previous prime is 2406010067987. The next prime is 2406010068029. The reversal of 2406010068000 is 8600106042.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 39442787970 + ... + 39442788030.

It is an arithmetic number, because the mean of its divisors is an integer number (2661579648).

Almost surely, 2^{2406010068000} is an apocalyptic number.

2406010068000 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 2406010068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132279508992).

2406010068000 is an abundant number, since it is smaller than the sum of its proper divisors (9858548949984).

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

2406010068000 is a wasteful number, since it uses less digits than its factorization.

2406010068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2406010068000 in words is "two trillion, four hundred six billion, ten million, sixty-eight thousand".