2303741664 has 144 divisors (see below), whose sum is σ = 7640287200. Its totient is φ = 658183680.

The previous prime is 2303741653. The next prime is 2303741681. The reversal of 2303741664 is 4661473032.

It is a happy number.

2303741664 is a `hidden beast` number, since 230 + 3 + 7 + 416 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87124 + ... + 110444.

It is an arithmetic number, because the mean of its divisors is an integer number (53057550).

Almost surely, 2^2303741664 is an apocalyptic number.

2303741664 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 2303741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820143600).

2303741664 is an abundant number, since it is smaller than the sum of its proper divisors (5336545536).

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

2303741664 is a wasteful number, since it uses less digits than its factorization.

2303741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23358 (or 23333 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2303741664 is about 47997.3089245637. The cubic root of 2303741664 is about 1320.7215339004.

The spelling of 2303741664 in words is "two billion, three hundred three million, seven hundred forty-one thousand, six hundred sixty-four".