2945341440 has 480 divisors, whose sum is σ = 10916745840. Its totient is φ = 759103488.

The previous prime is 2945341417. The next prime is 2945341453. The reversal of 2945341440 is 441435492.

It is a Cunningham number, because it is equal to 54271²-1.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2945341395 and 2945341404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43960287 + ... + 43960353.

Almost surely, 2^2945341440 is an apocalyptic number.

2945341440 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 2945341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458372920).

2945341440 is an abundant number, since it is smaller than the sum of its proper divisors (7971404400).

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

2945341440 is an equidigital number, since it uses as much as digits as its factorization.

2945341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2945341440 is about 54270.9999907870. Note that the first 5 decimals coincide. The cubic root of 2945341440 is about 1433.4367984924.

The spelling of 2945341440 in words is "two billion, nine hundred forty-five million, three hundred forty-one thousand, four hundred forty".