2352665952 has 384 divisors, whose sum is σ = 8819435520. Its totient is φ = 593049600.

The previous prime is 2352665911. The next prime is 2352665957. The reversal of 2352665952 is 2595662532.

2352665952 is a `hidden beast` number, since 2 + 3 + 52 + 6 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2352665898 and 2352665907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352665957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1807702 + ... + 1809002.

It is an arithmetic number, because the mean of its divisors is an integer number (22967280).

Almost surely, 2^2352665952 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 2352665952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409717760).

2352665952 is an abundant number, since it is smaller than the sum of its proper divisors (6466769568).

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

2352665952 is a wasteful number, since it uses less digits than its factorization.

2352665952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 2352665952 is about 48504.2879753945. The cubic root of 2352665952 is about 1330.0054557222.

The spelling of 2352665952 in words is "two billion, three hundred fifty-two million, six hundred sixty-five thousand, nine hundred fifty-two".