2045111040 has 324 divisors, whose sum is σ = 8233387344. Its totient is φ = 467324928.

The previous prime is 2045111021. The next prime is 2045111063. The reversal of 2045111040 is 401115402.

2045111040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562669 + ... + 566291.

Almost surely, 2^2045111040 is an apocalyptic number.

2045111040 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 2045111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116693672).

2045111040 is an abundant number, since it is smaller than the sum of its proper divisors (6188276304).

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

2045111040 is a wasteful number, since it uses less digits than its factorization.

2045111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2045111040 is about 45222.9039315257. The cubic root of 2045111040 is about 1269.3234332177.

Adding to 2045111040 its reverse (401115402), we get a palindrome (2446226442).

The spelling of 2045111040 in words is "two billion, forty-five million, one hundred eleven thousand, forty".