2301809664 has 352 divisors, whose sum is σ = 7885633536. Its totient is φ = 579502080.

The previous prime is 2301809641. The next prime is 2301809669. The reversal of 2301809664 is 4669081032.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301809669) 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, 8751997 + ... + 8752259.

It is an arithmetic number, because the mean of its divisors is an integer number (22402368).

Almost surely, 2^2301809664 is an apocalyptic number.

2301809664 is a gapful number since it is divisible by the number (24) 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 2301809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942816768).

2301809664 is an abundant number, since it is smaller than the sum of its proper divisors (5583823872).

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

2301809664 is a wasteful number, since it uses less digits than its factorization.

2301809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2301809664 is about 47977.1785748183. The cubic root of 2301809664 is about 1320.3522292350.

The spelling of 2301809664 in words is "two billion, three hundred one million, eight hundred nine thousand, six hundred sixty-four".