2966617040 has 20 divisors (see below), whose sum is σ = 6897384804. Its totient is φ = 1186646784.

The previous prime is 2966617019. The next prime is 2966617061. The reversal of 2966617040 is 407166692.

It is an interprime number because it is at equal distance from previous prime (2966617019) and next prime (2966617061).

It can be written as a sum of positive squares in 2 ways, for example, as 1274775616 + 1691841424 = 35704^2 + 41132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18541277 + ... + 18541436.

Almost surely, 2^2966617040 is an apocalyptic number.

2966617040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2966617040 is an abundant number, since it is smaller than the sum of its proper divisors (3930767764).

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

2966617040 is a wasteful number, since it uses less digits than its factorization.

2966617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37082726 (or 37082720 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 2966617040 is about 54466.6598939204. The cubic root of 2966617040 is about 1436.8799860771.

The spelling of 2966617040 in words is "two billion, nine hundred sixty-six million, six hundred seventeen thousand, forty".