2562048 has 72 divisors (see below), whose sum is σ = 7452900. Its totient is φ = 847872.

The previous prime is 2562031. The next prime is 2562097. The reversal of 2562048 is 8402652.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18363 + ... + 18501.

2^2562048 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 2562048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726450).

2562048 is an abundant number, since it is smaller than the sum of its proper divisors (4890852).

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

2562048 is a wasteful number, since it uses less digits than its factorization.

2562048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2562048 is about 1600.6398720512. The cubic root of 2562048 is about 136.8345454975.

It can be divided in two parts, 256 and 2048, that multiplied together give a 19-th power (524288 = 2¹⁹).

The spelling of 2562048 in words is "two million, five hundred sixty-two thousand, forty-eight".