2819919440 has 40 divisors (see below), whose sum is σ = 7060647048. Its totient is φ = 1041200640.

The previous prime is 2819919437. The next prime is 2819919449. The reversal of 2819919440 is 449199182.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 2808576016 = 3368^2 + 52996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819919449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1354691 + ... + 1356770.

Almost surely, 2^2819919440 is an apocalyptic number.

2819919440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2819919440 is an abundant number, since it is smaller than the sum of its proper divisors (4240727608).

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

2819919440 is a wasteful number, since it uses less digits than its factorization.

2819919440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711487 (or 2711481 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 2819919440 is about 53102.9136677075. The cubic root of 2819919440 is about 1412.7941908437.

The spelling of 2819919440 in words is "two billion, eight hundred nineteen million, nine hundred nineteen thousand, four hundred forty".