2947323456 has 448 divisors, whose sum is σ = 11446824960. Its totient is φ = 719953920.

The previous prime is 2947323451. The next prime is 2947323461. The reversal of 2947323456 is 6543237492.

It is an interprime number because it is at equal distance from previous prime (2947323451) and next prime (2947323461).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947323451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261301 + ... + 2262603.

Almost surely, 2^2947323456 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 2947323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723412480).

2947323456 is an abundant number, since it is smaller than the sum of its proper divisors (8499501504).

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

2947323456 is a wasteful number, since it uses less digits than its factorization.

2947323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1343 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2947323456 is about 54289.2572798708. The cubic root of 2947323456 is about 1433.7582618017.

The spelling of 2947323456 in words is "two billion, nine hundred forty-seven million, three hundred twenty-three thousand, four hundred fifty-six".