2947956480 has 432 divisors, whose sum is σ = 11785213440. Its totient is φ = 666427392.

The previous prime is 2947956421. The next prime is 2947956497. The reversal of 2947956480 is 846597492.

2947956480 is a `hidden beast` number, since 2 + 9 + 4 + 79 + 564 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 11208829 + ... + 11209091.

Almost surely, 2^2947956480 is an apocalyptic number.

2947956480 is a gapful number since it is divisible by the number (20) 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 2947956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

2947956480 is an abundant number, since it is smaller than the sum of its proper divisors (8837256960).

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

2947956480 is a wasteful number, since it uses less digits than its factorization.

2947956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2947956480 is about 54295.0870705628. The cubic root of 2947956480 is about 1433.8609016412.

The spelling of 2947956480 in words is "two billion, nine hundred forty-seven million, nine hundred fifty-six thousand, four hundred eighty".