2948544000 has 240 divisors, whose sum is σ = 10622177280. Its totient is φ = 786124800.

The previous prime is 2948543977. The next prime is 2948544059. The reversal of 2948544000 is 4458492.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 573441 + ... + 578559.

It is an arithmetic number, because the mean of its divisors is an integer number (44259072).

Almost surely, 2^2948544000 is an apocalyptic number.

2948544000 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 2948544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311088640).

2948544000 is an abundant number, since it is smaller than the sum of its proper divisors (7673633280).

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

2948544000 is an equidigital number, since it uses as much as digits as its factorization.

2948544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2948544000 is about 54300.4972352924. The cubic root of 2948544000 is about 1433.9561502205.

The spelling of 2948544000 in words is "two billion, nine hundred forty-eight million, five hundred forty-four thousand".