2845384740 has 384 divisors, whose sum is σ = 10276761600. Its totient is φ = 646778880.

The previous prime is 2845384697. The next prime is 2845384753. The reversal of 2845384740 is 474835482.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8060404 + ... + 8060756.

It is an arithmetic number, because the mean of its divisors is an integer number (26762400).

Almost surely, 2^2845384740 is an apocalyptic number.

2845384740 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 2845384740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138380800).

2845384740 is an abundant number, since it is smaller than the sum of its proper divisors (7431376860).

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

2845384740 is a wasteful number, since it uses less digits than its factorization.

2845384740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 2845384740 is about 53342.1478757652. The cubic root of 2845384740 is about 1417.0342020944.

The spelling of 2845384740 in words is "two billion, eight hundred forty-five million, three hundred eighty-four thousand, seven hundred forty".