2956081920 has 288 divisors, whose sum is σ = 10525455360. Its totient is φ = 700907520.

The previous prime is 2956081903. The next prime is 2956081939. The reversal of 2956081920 is 291806592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1984536 + ... + 1986024.

It is an arithmetic number, because the mean of its divisors is an integer number (36546720).

Almost surely, 2^2956081920 is an apocalyptic number.

2956081920 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 2956081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262727680).

2956081920 is an abundant number, since it is smaller than the sum of its proper divisors (7569373440).

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

2956081920 is a wasteful number, since it uses less digits than its factorization.

2956081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 2956081920 is about 54369.8622400315. The cubic root of 2956081920 is about 1435.1770747100.

The spelling of 2956081920 in words is "two billion, nine hundred fifty-six million, eighty-one thousand, nine hundred twenty".