2546425728 has 384 divisors, whose sum is σ = 9544262400. Its totient is φ = 660925440.

The previous prime is 2546425681. The next prime is 2546425741. The reversal of 2546425728 is 8275246452.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862101 + ... + 1863467.

It is an arithmetic number, because the mean of its divisors is an integer number (24854850).

Almost surely, 2^2546425728 is an apocalyptic number.

2546425728 is a gapful number since it is divisible by the number (28) 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 2546425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772131200).

2546425728 is an abundant number, since it is smaller than the sum of its proper divisors (6997836672).

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

2546425728 is a wasteful number, since it uses less digits than its factorization.

2546425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1390 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2546425728 is about 50462.1217152034. The cubic root of 2546425728 is about 1365.5585879504.

The spelling of 2546425728 in words is "two billion, five hundred forty-six million, four hundred twenty-five thousand, seven hundred twenty-eight".