2045762880 has 112 divisors (see below), whose sum is σ = 7423221120. Its totient is φ = 467601408.

The previous prime is 2045762867. The next prime is 2045762911. The reversal of 2045762880 is 882675402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2045762880² = 8370291522371788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 145495 + ... + 158934.

It is an arithmetic number, because the mean of its divisors is an integer number (66278760).

Almost surely, 2^2045762880 is an apocalyptic number.

2045762880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045762880 is an abundant number, since it is smaller than the sum of its proper divisors (5377458240).

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

2045762880 is a wasteful number, since it uses less digits than its factorization.

2045762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304456 (or 304446 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2045762880 is about 45230.1103248710. The cubic root of 2045762880 is about 1269.4582764088.

The spelling of 2045762880 in words is "two billion, forty-five million, seven hundred sixty-two thousand, eight hundred eighty".