2005701615712 has 24 divisors (see below), whose sum is σ = 4055447357136. Its totient is φ = 975746731392.

The previous prime is 2005701615647. The next prime is 2005701615721. The reversal of 2005701615712 is 2175161075002.

It is a super-3 number, since 3×2005701615712³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 847001188 + ... + 847003555.

It is an arithmetic number, because the mean of its divisors is an integer number (168976973214).

Almost surely, 2^{2005701615712} is an apocalyptic number.

It is an amenable number.

2005701615712 is an abundant number, since it is smaller than the sum of its proper divisors (2049745741424).

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

2005701615712 is a wasteful number, since it uses less digits than its factorization.

2005701615712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694004790 (or 1694004782 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 37.

The spelling of 2005701615712 in words is "two trillion, five billion, seven hundred one million, six hundred fifteen thousand, seven hundred twelve".