2045764040 has 64 divisors (see below), whose sum is σ = 4759614000. Its totient is φ = 790760448.

The previous prime is 2045764027. The next prime is 2045764069. The reversal of 2045764040 is 404675402.

It can be written as a sum of positive squares in 8 ways, for example, as 1249056964 + 796707076 = 35342^2 + 28226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2045763988 and 2045764006.

It is an unprimeable number.

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, 215882 + ... + 225158.

Almost surely, 2^2045764040 is an apocalyptic number.

2045764040 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 2045764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379807000).

2045764040 is an abundant number, since it is smaller than the sum of its proper divisors (2713849960).

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

2045764040 is a wasteful number, since it uses less digits than its factorization.

2045764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474 (or 9470 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2045764040 is about 45230.1231481852. The cubic root of 2045764040 is about 1269.4585163473.

The spelling of 2045764040 in words is "two billion, forty-five million, seven hundred sixty-four thousand, forty".