2235205152 has 192 divisors, whose sum is σ = 7126963200. Its totient is φ = 678481920.

The previous prime is 2235205151. The next prime is 2235205229. The reversal of 2235205152 is 2515025322.

It is a super-2 number, since 2×2235205152² = 9992284143054686208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2235205151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452874 + ... + 457782.

It is an arithmetic number, because the mean of its divisors is an integer number (37119600).

Almost surely, 2^2235205152 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 2235205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563481600).

2235205152 is an abundant number, since it is smaller than the sum of its proper divisors (4891758048).

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

2235205152 is a wasteful number, since it uses less digits than its factorization.

2235205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2235205152 is about 47277.9563010078. The cubic root of 2235205152 is about 1307.4922699025.

The spelling of 2235205152 in words is "two billion, two hundred thirty-five million, two hundred five thousand, one hundred fifty-two".