4052584032 has 96 divisors (see below), whose sum is σ = 12872950272. Its totient is φ = 1089767424.

The previous prime is 4052584021. The next prime is 4052584037. The reversal of 4052584032 is 2304852504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4052583984 and 4052584002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052584037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165948 + ... + 188795.

It is an arithmetic number, because the mean of its divisors is an integer number (134093232).

Almost surely, 2^4052584032 is an apocalyptic number.

4052584032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4052584032 is an abundant number, since it is smaller than the sum of its proper divisors (8820366240).

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

4052584032 is a wasteful number, since it uses less digits than its factorization.

4052584032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354780 (or 354772 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 4052584032 is about 63659.9091422537. The cubic root of 4052584032 is about 1594.3267871016.

The spelling of 4052584032 in words is "four billion, fifty-two million, five hundred eighty-four thousand, thirty-two".