2948881320 has 576 divisors, whose sum is σ = 12697776000. Its totient is φ = 579363840.

The previous prime is 2948881303. The next prime is 2948881343. The reversal of 2948881320 is 231888492.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 5793226 + ... + 5793734.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 2^2948881320 is an apocalyptic number.

2948881320 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 2948881320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

2948881320 is an abundant number, since it is smaller than the sum of its proper divisors (9748894680).

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

2948881320 is a wasteful number, since it uses less digits than its factorization.

2948881320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2948881320 is about 54303.6031953682. The cubic root of 2948881320 is about 1434.0108307276.

The spelling of 2948881320 in words is "two billion, nine hundred forty-eight million, eight hundred eighty-one thousand, three hundred twenty".