2040411120 has 160 divisors (see below), whose sum is σ = 6916057344. Its totient is φ = 493516800.

The previous prime is 2040411091. The next prime is 2040411157. The reversal of 2040411120 is 211140402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2040411120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2140564 + ... + 2141516.

Almost surely, 2^2040411120 is an apocalyptic number.

2040411120 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 2040411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458028672).

2040411120 is an abundant number, since it is smaller than the sum of its proper divisors (4875646224).

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

2040411120 is a wasteful number, since it uses less digits than its factorization.

2040411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2040411120 is about 45170.9101081659. The cubic root of 2040411120 is about 1268.3503329303.

Adding to 2040411120 its reverse (211140402), we get a palindrome (2251551522).

The spelling of 2040411120 in words is "two billion, forty million, four hundred eleven thousand, one hundred twenty".