2355006432 has 144 divisors (see below), whose sum is σ = 6555306240. Its totient is φ = 740103936.

The previous prime is 2355006403. The next prime is 2355006439. The reversal of 2355006432 is 2346005532.

It is a super-2 number, since 2×2355006432² = 11092110589522741248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2355006432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355006439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4011643 + ... + 4012229.

It is an arithmetic number, because the mean of its divisors is an integer number (45522960).

Almost surely, 2^2355006432 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 2355006432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277653120).

2355006432 is an abundant number, since it is smaller than the sum of its proper divisors (4200299808).

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

2355006432 is a wasteful number, since it uses less digits than its factorization.

2355006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2355006432 is about 48528.4085047099. The cubic root of 2355006432 is about 1330.4463483890.

The spelling of 2355006432 in words is "two billion, three hundred fifty-five million, six thousand, four hundred thirty-two".