2613574071072 has 144 divisors (see below), whose sum is σ = 7965105744960. Its totient is φ = 810791410176.

The previous prime is 2613574071071. The next prime is 2613574071113. The reversal of 2613574071072 is 2701704753162.

2613574071072 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 574 + 0 + 7 + 1 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2613574071071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5086822 + ... + 5576997.

It is an arithmetic number, because the mean of its divisors is an integer number (55313234340).

Almost surely, 2^{2613574071072} is an apocalyptic number.

It is an amenable number.

2613574071072 is an abundant number, since it is smaller than the sum of its proper divisors (5351531673888).

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

2613574071072 is a wasteful number, since it uses less digits than its factorization.

2613574071072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663895 (or 10663884 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 2613574071072 in words is "two trillion, six hundred thirteen billion, five hundred seventy-four million, seventy-one thousand, seventy-two".