2606815247232 has 384 divisors, whose sum is σ = 8223185784960. Its totient is φ = 729296375808.

The previous prime is 2606815247221. The next prime is 2606815247233. The reversal of 2606815247232 is 2327425186062.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606815247233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561448303 + ... + 561452945.

It is an arithmetic number, because the mean of its divisors is an integer number (21414546315).

Almost surely, 2^{2606815247232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606815247232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111592892480).

2606815247232 is an abundant number, since it is smaller than the sum of its proper divisors (5616370537728).

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

2606815247232 is a wasteful number, since it uses less digits than its factorization.

2606815247232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2606815247232 in words is "two trillion, six hundred six billion, eight hundred fifteen million, two hundred forty-seven thousand, two hundred thirty-two".