2966751424 has 112 divisors (see below), whose sum is σ = 7354832128. Its totient is φ = 1155990528.

The previous prime is 2966751421. The next prime is 2966751433. The reversal of 2966751424 is 4241576692.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2966751424² = 17603228023612055552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2966751421) 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 15 ways as a sum of consecutive naturals, for example, 386407 + ... + 394009.

It is an arithmetic number, because the mean of its divisors is an integer number (65668144).

Almost surely, 2^2966751424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966751424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677416064).

2966751424 is an abundant number, since it is smaller than the sum of its proper divisors (4388080704).

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

2966751424 is a wasteful number, since it uses less digits than its factorization.

2966751424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7692 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 2966751424 is about 54467.8935153545. The cubic root of 2966751424 is about 1436.9016820315.

The spelling of 2966751424 in words is "two billion, nine hundred sixty-six million, seven hundred fifty-one thousand, four hundred twenty-four".