2608961712 has 160 divisors (see below), whose sum is σ = 8179905024. Its totient is φ = 699494400.

The previous prime is 2608961701. The next prime is 2608961717. The reversal of 2608961712 is 2171698062.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2608961717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775287 + ... + 3775977.

Almost surely, 2^2608961712 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 2608961712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089952512).

2608961712 is an abundant number, since it is smaller than the sum of its proper divisors (5570943312).

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

2608961712 is a wasteful number, since it uses less digits than its factorization.

2608961712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2608961712 is about 51077.9963585104. The cubic root of 2608961712 is about 1376.6469234708.

The spelling of 2608961712 in words is "two billion, six hundred eight million, nine hundred sixty-one thousand, seven hundred twelve".