2948161440 has 288 divisors, whose sum is σ = 10883315520. Its totient is φ = 668860416.

The previous prime is 2948161423. The next prime is 2948161451. The reversal of 2948161440 is 441618492.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833376 + ... + 3834144.

It is an arithmetic number, because the mean of its divisors is an integer number (37789290).

Almost surely, 2^2948161440 is an apocalyptic number.

2948161440 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 2948161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441657760).

2948161440 is an abundant number, since it is smaller than the sum of its proper divisors (7935154080).

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

2948161440 is a wasteful number, since it uses less digits than its factorization.

2948161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2948161440 is about 54296.9745013477. The cubic root of 2948161440 is about 1433.8941311367.

The spelling of 2948161440 in words is "two billion, nine hundred forty-eight million, one hundred sixty-one thousand, four hundred forty".