2048288 has 54 divisors (see below), whose sum is σ = 4633587. Its totient is φ = 890560.

The previous prime is 2048273. The next prime is 2048327. The reversal of 2048288 is 8828402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1024144 + 1024144 = 1012^2 + 1012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1012.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89045 + ... + 89067.

2^2048288 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 2048288

2048288 is an abundant number, since it is smaller than the sum of its proper divisors (2585299).

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

2048288 is a wasteful number, since it uses less digits than its factorization.

2048288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 2048288 is about 1431.1841251216. The cubic root of 2048288 is about 126.9980366324.

Multiplying 2048288 by its sum of digits (32), we get a square (65545216 = 8096²).

2048288 divided by its sum of digits (32) gives a square (64009 = 253²).

Multiplying 2048288 by its product of nonzero digits (8192), we get a square (16779575296 = 129536²).

Multiplying 2048288 by its reverse (8828402), we get a square (18083109875776 = 4252424²).

It can be divided in two parts, 2048 and 288, that multiplied together give a square (589824 = 768²).

The spelling of 2048288 in words is "two million, forty-eight thousand, two hundred eighty-eight".