2945795328 has 324 divisors, whose sum is σ = 10019105460. Its totient is φ = 829882368.

The previous prime is 2945795327. The next prime is 2945795389. The reversal of 2945795328 is 8235975492.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 2276434944 = 25872^2 + 47712^2 .

It is a super-2 number, since 2×2945795328² = 17355420228933255168, which contains 22 as substring.

Its product of digits (5443200) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945795327) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10950778 + ... + 10951046.

It is an arithmetic number, because the mean of its divisors is an integer number (30923165).

Almost surely, 2^2945795328 is an apocalyptic number.

2945795328 is a gapful number since it is divisible by the number (28) 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 2945795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009552730).

2945795328 is an abundant number, since it is smaller than the sum of its proper divisors (7073310132).

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

2945795328 is a wasteful number, since it uses less digits than its factorization.

2945795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 378 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 2945795328 is about 54275.1815105210. The cubic root of 2945795328 is about 1433.5104273462.

The spelling of 2945795328 in words is "two billion, nine hundred forty-five million, seven hundred ninety-five thousand, three hundred twenty-eight".