2948976000 has 192 divisors, whose sum is σ = 10591027200. Its totient is φ = 786355200.

The previous prime is 2948975969. The next prime is 2948976011. The reversal of 2948976000 is 6798492.

It is a happy number.

2948976000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133761 + ... + 154239.

It is an arithmetic number, because the mean of its divisors is an integer number (55161600).

Almost surely, 2^2948976000 is an apocalyptic number.

2948976000 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 2948976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295513600).

2948976000 is an abundant number, since it is smaller than the sum of its proper divisors (7642051200).

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

2948976000 is a wasteful number, since it uses less digits than its factorization.

2948976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20514 (or 20489 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2948976000 is about 54304.4749537273. The cubic root of 2948976000 is about 1434.0261778687.

The spelling of 2948976000 in words is "two billion, nine hundred forty-eight million, nine hundred seventy-six thousand".