2343204864 has 576 divisors, whose sum is σ = 9158123520. Its totient is φ = 557383680.

The previous prime is 2343204841. The next prime is 2343204893. The reversal of 2343204864 is 4684023432.

2343204864 is a `hidden beast` number, since 234 + 320 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 18450369 + ... + 18450495.

It is an arithmetic number, because the mean of its divisors is an integer number (15899520).

Almost surely, 2^2343204864 is an apocalyptic number.

2343204864 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 2343204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579061760).

2343204864 is an abundant number, since it is smaller than the sum of its proper divisors (6814918656).

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

2343204864 is a wasteful number, since it uses less digits than its factorization.

2343204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2343204864 is about 48406.6613597757. The cubic root of 2343204864 is about 1328.2202179920.

The spelling of 2343204864 in words is "two billion, three hundred forty-three million, two hundred four thousand, eight hundred sixty-four".