2607261696 has 432 divisors, whose sum is σ = 8728836480. Its totient is φ = 776355840.

The previous prime is 2607261689. The next prime is 2607261697. The reversal of 2607261696 is 6961627062.

2607261696 is a `hidden beast` number, since 2 + 607 + 26 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (2607261697) 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 35 ways as a sum of consecutive naturals, for example, 84105201 + ... + 84105231.

It is an arithmetic number, because the mean of its divisors is an integer number (20205640).

Almost surely, 2^2607261696 is an apocalyptic number.

2607261696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2607261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364418240).

2607261696 is an abundant number, since it is smaller than the sum of its proper divisors (6121574784).

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

2607261696 is an equidigital number, since it uses as much as digits as its factorization.

2607261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2607261696 is about 51061.3522735150. The cubic root of 2607261696 is about 1376.3478478791.

The spelling of 2607261696 in words is "two billion, six hundred seven million, two hundred sixty-one thousand, six hundred ninety-six".