2048640 has 128 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 491520.

The previous prime is 2048639. The next prime is 2048663. The reversal of 2048640 is 468402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2048640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21072 + ... + 21168.

2^2048640 is an apocalyptic number.

2048640 is a gapful number since it is divisible by the number (20) 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 2048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2048640 is an abundant number, since it is smaller than the sum of its proper divisors (5148480).

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

2048640 is a wasteful number, since it uses less digits than its factorization.

2048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2048640 is about 1431.3070949311. The cubic root of 2048640 is about 127.0053111218.

The spelling of 2048640 in words is "two million, forty-eight thousand, six hundred forty".