2546584032 has 96 divisors (see below), whose sum is σ = 6947942400. Its totient is φ = 815823360.

The previous prime is 2546584031. The next prime is 2546584043. The reversal of 2546584032 is 2304856452.

2546584032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546584031) 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, 440553 + ... + 446295.

It is an arithmetic number, because the mean of its divisors is an integer number (72374400).

Almost surely, 2^2546584032 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 2546584032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473971200).

2546584032 is an abundant number, since it is smaller than the sum of its proper divisors (4401358368).

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

2546584032 is a wasteful number, since it uses less digits than its factorization.

2546584032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 2546584032 is about 50463.6902336720. The cubic root of 2546584032 is about 1365.5868849872.

The spelling of 2546584032 in words is "two billion, five hundred forty-six million, five hundred eighty-four thousand, thirty-two".