2690711712 has 288 divisors, whose sum is σ = 8629770240. Its totient is φ = 789626880.

The previous prime is 2690711707. The next prime is 2690711753. The reversal of 2690711712 is 2171170962.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11258089 + ... + 11258327.

It is an arithmetic number, because the mean of its divisors is an integer number (29964480).

Almost surely, 2^2690711712 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 2690711712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314885120).

2690711712 is an abundant number, since it is smaller than the sum of its proper divisors (5939058528).

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

2690711712 is a wasteful number, since it uses less digits than its factorization.

2690711712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 2690711712 is about 51872.0706353621. The cubic root of 2690711712 is about 1390.8780595037.

The spelling of 2690711712 in words is "two billion, six hundred ninety million, seven hundred eleven thousand, seven hundred twelve".