2435264832 has 224 divisors, whose sum is σ = 8651833344. Its totient is φ = 583833600.

The previous prime is 2435264813. The next prime is 2435264893. The reversal of 2435264832 is 2384625342.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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, 185857 + ... + 198527.

It is an arithmetic number, because the mean of its divisors is an integer number (38624256).

Almost surely, 2^2435264832 is an apocalyptic number.

2435264832 is a gapful number since it is divisible by the number (22) 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 2435264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325916672).

2435264832 is an abundant number, since it is smaller than the sum of its proper divisors (6216568512).

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

2435264832 is a wasteful number, since it uses less digits than its factorization.

2435264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717 (or 12707 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 2435264832 is about 49348.4025273362. The cubic root of 2435264832 is about 1345.3916636437.

The spelling of 2435264832 in words is "two billion, four hundred thirty-five million, two hundred sixty-four thousand, eight hundred thirty-two".