2355059952 has 120 divisors (see below), whose sum is σ = 7686338400. Its totient is φ = 672860160.

The previous prime is 2355059951. The next prime is 2355060047. The reversal of 2355059952 is 2599505532.

2355059952 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 0 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2355059898 and 2355059907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355059951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25552 + ... + 73232.

It is an arithmetic number, because the mean of its divisors is an integer number (64052820).

Almost surely, 2^2355059952 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 2355059952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843169200).

2355059952 is an abundant number, since it is smaller than the sum of its proper divisors (5331278448).

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

2355059952 is a wasteful number, since it uses less digits than its factorization.

2355059952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47716 (or 47693 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The square root of 2355059952 is about 48528.9599311586. The cubic root of 2355059952 is about 1330.4564269105.

The spelling of 2355059952 in words is "two billion, three hundred fifty-five million, fifty-nine thousand, nine hundred fifty-two".