2646935487072 has 288 divisors, whose sum is σ = 7852134850560. Its totient is φ = 844850580480.

The previous prime is 2646935487071. The next prime is 2646935487127. The reversal of 2646935487072 is 2707845396462.

2646935487072 is a `hidden beast` number, since 2 + 6 + 469 + 35 + 4 + 8 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2646935487071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956607033 + ... + 956609799.

It is an arithmetic number, because the mean of its divisors is an integer number (27264357120).

Almost surely, 2^{2646935487072} 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 2646935487072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926067425280).

2646935487072 is an abundant number, since it is smaller than the sum of its proper divisors (5205199363488).

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

2646935487072 is a wasteful number, since it uses less digits than its factorization.

2646935487072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 2646935487072 in words is "two trillion, six hundred forty-six billion, nine hundred thirty-five million, four hundred eighty-seven thousand, seventy-two".