2965820416 has 44 divisors (see below), whose sum is σ = 6384830452. Its totient is φ = 1368834048.

The previous prime is 2965820387. The next prime is 2965820509. The reversal of 2965820416 is 6140285692.

It can be written as a sum of positive squares in 2 ways, for example, as 2035814400 + 930006016 = 45120^2 + 30496^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 98085 + ... + 124708.

It is an arithmetic number, because the mean of its divisors is an integer number (145109783).

Almost surely, 2^2965820416 is an apocalyptic number.

2965820416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2965820416 is an abundant number, since it is smaller than the sum of its proper divisors (3419010036).

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

2965820416 is a wasteful number, since it uses less digits than its factorization.

2965820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222826 (or 222808 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 2965820416 is about 54459.3464521931. The cubic root of 2965820416 is about 1436.7513597058.

The spelling of 2965820416 in words is "two billion, nine hundred sixty-five million, eight hundred twenty thousand, four hundred sixteen".