2045933760 has 224 divisors, whose sum is σ = 7238024640. Its totient is φ = 486162432.

The previous prime is 2045933711. The next prime is 2045933779. The reversal of 2045933760 is 673395402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359094 + ... + 364746.

It is an arithmetic number, because the mean of its divisors is an integer number (32312610).

Almost surely, 2^2045933760 is an apocalyptic number.

2045933760 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 2045933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619012320).

2045933760 is an abundant number, since it is smaller than the sum of its proper divisors (5192090880).

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

2045933760 is a wasteful number, since it uses less digits than its factorization.

2045933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 2045933760 is about 45231.9992925363. Note that the first 3 decimals coincide. The cubic root of 2045933760 is about 1269.4936208424.

The spelling of 2045933760 in words is "two billion, forty-five million, nine hundred thirty-three thousand, seven hundred sixty".