2353241664 has 42 divisors (see below), whose sum is σ = 6745143990. Its totient is φ = 784413696.

The previous prime is 2353241663. The next prime is 2353241689. The reversal of 2353241664 is 4661423532.

2353241664 is a `hidden beast` number, since 2 + 353 + 241 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 503553600 = 43008^2 + 22440^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353241663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2042169 + ... + 2043320.

Almost surely, 2^2353241664 is an apocalyptic number.

2353241664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2353241664 is an abundant number, since it is smaller than the sum of its proper divisors (4391902326).

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

2353241664 is a wasteful number, since it uses less digits than its factorization.

2353241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085507 (or 4085494 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2353241664 is about 48510.2222629417. Note that the first 4 decimals coincide. The cubic root of 2353241664 is about 1330.1139337450.

The spelling of 2353241664 in words is "two billion, three hundred fifty-three million, two hundred forty-one thousand, six hundred sixty-four".