2045720120 has 64 divisors (see below), whose sum is σ = 4948300800. Its totient is φ = 758712960.

The previous prime is 2045720113. The next prime is 2045720123. The reversal of 2045720120 is 210275402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045720123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7085 + ... + 64355.

It is an arithmetic number, because the mean of its divisors is an integer number (77317200).

Almost surely, 2^2045720120 is an apocalyptic number.

2045720120 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 2045720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474150400).

2045720120 is an abundant number, since it is smaller than the sum of its proper divisors (2902580680).

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

2045720120 is a wasteful number, since it uses less digits than its factorization.

2045720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57348 (or 57344 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 2045720120 is about 45229.6376284400. The cubic root of 2045720120 is about 1269.4494317191.

Adding to 2045720120 its reverse (210275402), we get a palindrome (2255995522).

The spelling of 2045720120 in words is "two billion, forty-five million, seven hundred twenty thousand, one hundred twenty".