2045084880 has 120 divisors (see below), whose sum is σ = 6551607456. Its totient is φ = 527704320.

The previous prime is 2045084869. The next prime is 2045084917. The reversal of 2045084880 is 884805402.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2045084880² = 8364744332809228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226207 + ... + 235073.

Almost surely, 2^2045084880 is an apocalyptic number.

2045084880 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 2045084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275803728).

2045084880 is an abundant number, since it is smaller than the sum of its proper divisors (4506522576).

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

2045084880 is a wasteful number, since it uses less digits than its factorization.

2045084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8908 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2045084880 is about 45222.6146966316. The cubic root of 2045084880 is about 1269.3180210189.

The spelling of 2045084880 in words is "two billion, forty-five million, eighty-four thousand, eight hundred eighty".