2606215024000 has 512 divisors, whose sum is σ = 7584295680000. Its totient is φ = 872189337600.

The previous prime is 2606215023901. The next prime is 2606215024013. The reversal of 2606215024000 is 4205126062.

It is a super-4 number, since 4×2606215024000⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2606215024000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984590677 + ... + 984593323.

It is an arithmetic number, because the mean of its divisors is an integer number (14813077500).

Almost surely, 2^{2606215024000} is an apocalyptic number.

2606215024000 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 2606215024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792147840000).

2606215024000 is an abundant number, since it is smaller than the sum of its proper divisors (4978080656000).

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

2606215024000 is a wasteful number, since it uses less digits than its factorization.

2606215024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 2606215024000 in words is "two trillion, six hundred six billion, two hundred fifteen million, twenty-four thousand".