2956368480 has 192 divisors, whose sum is σ = 10465459200. Its totient is φ = 696047616.

The previous prime is 2956368469. The next prime is 2956368497. The reversal of 2956368480 is 848636592.

It is a super-2 number, since 2×2956368480² = 17480229179075020800, which contains 22 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 133221 + ... + 153819.

It is an arithmetic number, because the mean of its divisors is an integer number (54507600).

Almost surely, 2^2956368480 is an apocalyptic number.

2956368480 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 2956368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232729600).

2956368480 is an abundant number, since it is smaller than the sum of its proper divisors (7509090720).

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

2956368480 is a wasteful number, since it uses less digits than its factorization.

2956368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20653 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2956368480 is about 54372.4974596533. The cubic root of 2956368480 is about 1435.2234481490.

The spelling of 2956368480 in words is "two billion, nine hundred fifty-six million, three hundred sixty-eight thousand, four hundred eighty".