2956996592 has 80 divisors (see below), whose sum is σ = 6631932672. Its totient is φ = 1262300160.

The previous prime is 2956996591. The next prime is 2956996607.

2956996592 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2956996592² = 17487657690199228928, which contains 22 as substring.

Its product of digits (23619600) is a multiple of the sum of its prime divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956996591) 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 15 ways as a sum of consecutive naturals, for example, 2042813 + ... + 2044259.

Almost surely, 2^2956996592 is an apocalyptic number.

2956996592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956996592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315966336).

2956996592 is an abundant number, since it is smaller than the sum of its proper divisors (3674936080).

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

2956996592 is a wasteful number, since it uses less digits than its factorization.

2956996592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2160 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 62.

The square root of 2956996592 is about 54378.2731612544. The cubic root of 2956996592 is about 1435.3250837921.

The spelling of 2956996592 in words is "two billion, nine hundred fifty-six million, nine hundred ninety-six thousand, five hundred ninety-two".