2601697968 has 240 divisors, whose sum is σ = 8151561600. Its totient is φ = 800616960.

The previous prime is 2601697963. The next prime is 2601698017. The reversal of 2601697968 is 8697961062.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2601697963) 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 47 ways as a sum of consecutive naturals, for example, 3028323 + ... + 3029181.

It is an arithmetic number, because the mean of its divisors is an integer number (33964840).

Almost surely, 2^2601697968 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 2601697968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075780800).

2601697968 is an abundant number, since it is smaller than the sum of its proper divisors (5549863632).

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

2601697968 is a wasteful number, since it uses less digits than its factorization.

2601697968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2601697968 is about 51006.8423645299. The cubic root of 2601697968 is about 1375.3681382094.

It can be divided in two parts, 2601 and 697968, that added together give a square (700569 = 837²).

The spelling of 2601697968 in words is "two billion, six hundred one million, six hundred ninety-seven thousand, nine hundred sixty-eight".