2401617696 has 96 divisors (see below), whose sum is σ = 6427895040. Its totient is φ = 784982016.

The previous prime is 2401617683. The next prime is 2401617697. The reversal of 2401617696 is 6967161042.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2401617697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189680 + ... + 1191696.

It is an arithmetic number, because the mean of its divisors is an integer number (66957240).

Almost surely, 2^2401617696 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 2401617696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213947520).

2401617696 is an abundant number, since it is smaller than the sum of its proper divisors (4026277344).

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

2401617696 is a wasteful number, since it uses less digits than its factorization.

2401617696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2401617696 is about 49006.3026150719. The cubic root of 2401617696 is about 1339.1666489927.

The spelling of 2401617696 in words is "two billion, four hundred one million, six hundred seventeen thousand, six hundred ninety-six".