2038560 has 96 divisors (see below), whose sum is σ = 6676992. Its totient is φ = 522240.

The previous prime is 2038549. The next prime is 2038573. The reversal of 2038560 is 658302.

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

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

It is a d-powerful number, because it can be written as 2¹⁵ + 0 + 3⁹ + 8⁵ + 5⁹ + 6³ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2038560.

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, 14812 + ... + 14948.

It is an arithmetic number, because the mean of its divisors is an integer number (69552).

2^2038560 is an apocalyptic number.

2038560 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 2038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338496).

2038560 is an abundant number, since it is smaller than the sum of its proper divisors (4638432).

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

2038560 is a wasteful number, since it uses less digits than its factorization.

2038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2038560 is about 1427.7814958879. The cubic root of 2038560 is about 126.7966655507.

The spelling of 2038560 in words is "two million, thirty-eight thousand, five hundred sixty".