2845481940 has 288 divisors, whose sum is σ = 10633190400. Its totient is φ = 629233920.

The previous prime is 2845481921. The next prime is 2845481941. The reversal of 2845481940 is 491845482.

2845481940 is a `hidden beast` number, since 2 + 8 + 454 + 8 + 194 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2845481941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818526 + ... + 821994.

It is an arithmetic number, because the mean of its divisors is an integer number (36920800).

Almost surely, 2^2845481940 is an apocalyptic number.

2845481940 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 2845481940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316595200).

2845481940 is an abundant number, since it is smaller than the sum of its proper divisors (7787708460).

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

2845481940 is a wasteful number, since it uses less digits than its factorization.

2845481940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2845481940 is about 53343.0589674046. The cubic root of 2845481940 is about 1417.0503374819.

The spelling of 2845481940 in words is "two billion, eight hundred forty-five million, four hundred eighty-one thousand, nine hundred forty".