2956314384 has 135 divisors (see below), whose sum is σ = 8693061013. Its totient is φ = 937808256.

The previous prime is 2956314377. The next prime is 2956314397. The reversal of 2956314384 is 4834136592.

The square root of 2956314384 is 54372.

It is a perfect power (a square), and thus also a powerful number.

2956314384 is a `hidden beast` number, since 2 + 9 + 5 + 631 + 4 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2896592400 + 59721984 = 53820^2 + 7728^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 15006574 + ... + 15006770.

Almost surely, 2^2956314384 is an apocalyptic number.

2956314384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2956314384 is the 54372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956314384

2956314384 is an abundant number, since it is smaller than the sum of its proper divisors (5736746629).

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

2956314384 is a wasteful number, since it uses less digits than its factorization.

2956314384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 225 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 2956314384 is about 1435.2146941296.

The spelling of 2956314384 in words is "two billion, nine hundred fifty-six million, three hundred fourteen thousand, three hundred eighty-four".