2045360 has 40 divisors (see below), whose sum is σ = 4891056. Its totient is φ = 794880.

The previous prime is 2045359. The next prime is 2045363. The reversal of 2045360 is 635402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2045363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2615 + ... + 3305.

2^2045360 is an apocalyptic number.

2045360 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 2045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445528).

2045360 is an abundant number, since it is smaller than the sum of its proper divisors (2845696).

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

2045360 is a wasteful number, since it uses less digits than its factorization.

2045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2045360 is about 1430.1608301167. The cubic root of 2045360 is about 126.9374937828.

The spelling of 2045360 in words is "two million, forty-five thousand, three hundred sixty".