2956668480 has 336 divisors, whose sum is σ = 10784067840. Its totient is φ = 770715648.

The previous prime is 2956668461. The next prime is 2956668487. The reversal of 2956668480 is 848666592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2956668487) 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 47 ways as a sum of consecutive naturals, for example, 3654316 + ... + 3655124.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^2956668480 is an apocalyptic number.

2956668480 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 2956668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

2956668480 is an abundant number, since it is smaller than the sum of its proper divisors (7827399360).

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

2956668480 is an equidigital number, since it uses as much as digits as its factorization.

2956668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2956668480 is about 54375.2561373278. The cubic root of 2956668480 is about 1435.2719933461.

The spelling of 2956668480 in words is "two billion, nine hundred fifty-six million, six hundred sixty-eight thousand, four hundred eighty".