2235465864 has 288 divisors, whose sum is σ = 6999894720. Its totient is φ = 666952704.

The previous prime is 2235465863. The next prime is 2235465913. The reversal of 2235465864 is 4685645322.

2235465864 is a `hidden beast` number, since 2 + 23 + 5 + 46 + 586 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235465863) 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 71 ways as a sum of consecutive naturals, for example, 12921682 + ... + 12921854.

It is an arithmetic number, because the mean of its divisors is an integer number (24305190).

Almost surely, 2^2235465864 is an apocalyptic number.

2235465864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235465864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499947360).

2235465864 is an abundant number, since it is smaller than the sum of its proper divisors (4764428856).

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

2235465864 is a wasteful number, since it uses less digits than its factorization.

2235465864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2235465864 is about 47280.7134463938. The cubic root of 2235465864 is about 1307.5431027716.

The spelling of 2235465864 in words is "two billion, two hundred thirty-five million, four hundred sixty-five thousand, eight hundred sixty-four".