2905345440 has 72 divisors (see below), whose sum is σ = 9914496228. Its totient is φ = 774758400.

The previous prime is 2905345433. The next prime is 2905345447. The reversal of 2905345440 is 445435092.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2905345433) and next prime (2905345447).

It can be written as a sum of positive squares in 2 ways, for example, as 2748695184 + 156650256 = 52428^2 + 12516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2905345395 and 2905345404.

It is not an unprimeable number, because it can be changed into a prime (2905345447) 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 11 ways as a sum of consecutive naturals, for example, 1007361 + ... + 1010240.

Almost surely, 2^2905345440 is an apocalyptic number.

2905345440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2905345440 is an abundant number, since it is smaller than the sum of its proper divisors (7009150788).

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

2905345440 is a wasteful number, since it uses less digits than its factorization.

2905345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017622 (or 2017611 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2905345440 is about 53901.2563860992. The cubic root of 2905345440 is about 1426.9187964832.

The spelling of 2905345440 in words is "two billion, nine hundred five million, three hundred forty-five thousand, four hundred forty".