2045289280 has 112 divisors (see below), whose sum is σ = 4997744640. Its totient is φ = 796981248.

The previous prime is 2045289241. The next prime is 2045289299. The reversal of 2045289280 is 829825402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397334 + ... + 2398186.

It is an arithmetic number, because the mean of its divisors is an integer number (44622720).

Almost surely, 2^2045289280 is an apocalyptic number.

2045289280 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 2045289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498872320).

2045289280 is an abundant number, since it is smaller than the sum of its proper divisors (2952455360).

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

2045289280 is a wasteful number, since it uses less digits than its factorization.

2045289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 2045289280 is about 45224.8745714126. The cubic root of 2045289280 is about 1269.3603077658.

The spelling of 2045289280 in words is "two billion, forty-five million, two hundred eighty-nine thousand, two hundred eighty".