2606207316480 has 240 divisors, whose sum is σ = 9027727188480. Its totient is φ = 694857867264.

The previous prime is 2606207316463. The next prime is 2606207316491. The reversal of 2606207316480 is 846137026062.

2606207316480 is a `hidden beast` number, since 2 + 6 + 0 + 620 + 7 + 3 + 16 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 237375631 + ... + 237386609.

It is an arithmetic number, because the mean of its divisors is an integer number (37615529952).

Almost surely, 2^{2606207316480} is an apocalyptic number.

2606207316480 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 2606207316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513863594240).

2606207316480 is an abundant number, since it is smaller than the sum of its proper divisors (6421519872000).

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

2606207316480 is a wasteful number, since it uses less digits than its factorization.

2606207316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311 (or 21292 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2606207316480 in words is "two trillion, six hundred six billion, two hundred seven million, three hundred sixteen thousand, four hundred eighty".