2601657696 has 192 divisors, whose sum is σ = 8232731136. Its totient is φ = 709632000.

The previous prime is 2601657689. The next prime is 2601657697. The reversal of 2601657696 is 6967561062.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601657697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409746 + ... + 416046.

It is an arithmetic number, because the mean of its divisors is an integer number (42878808).

Almost surely, 2^2601657696 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 2601657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116365568).

2601657696 is an abundant number, since it is smaller than the sum of its proper divisors (5631073440).

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

2601657696 is a wasteful number, since it uses less digits than its factorization.

2601657696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 2601657696 is about 51006.4475924368. The cubic root of 2601657696 is about 1375.3610416758.

The spelling of 2601657696 in words is "two billion, six hundred one million, six hundred fifty-seven thousand, six hundred ninety-six".