2647488195072 has 480 divisors, whose sum is σ = 9125848765440. Its totient is φ = 755626475520.

The previous prime is 2647488195067. The next prime is 2647488195073. The reversal of 2647488195072 is 2705918847462.

It is a happy number.

2647488195072 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 48 + 81 + 9 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2647488195073) 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, 996418768 + ... + 996421424.

It is an arithmetic number, because the mean of its divisors is an integer number (19012184928).

Almost surely, 2^{2647488195072} 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 2647488195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562924382720).

2647488195072 is an abundant number, since it is smaller than the sum of its proper divisors (6478360570368).

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

2647488195072 is a wasteful number, since it uses less digits than its factorization.

2647488195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 2647488195072 in words is "two trillion, six hundred forty-seven billion, four hundred eighty-eight million, one hundred ninety-five thousand, seventy-two".