2948078000 has 160 divisors (see below), whose sum is σ = 8576355840. Its totient is φ = 957484800.

The previous prime is 2948077973. The next prime is 2948078033. The reversal of 2948078000 is 8708492.

2948078000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260459 + ... + 271541.

It is an arithmetic number, because the mean of its divisors is an integer number (53602224).

Almost surely, 2^2948078000 is an apocalyptic number.

2948078000 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 2948078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288177920).

2948078000 is an abundant number, since it is smaller than the sum of its proper divisors (5628277840).

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

2948078000 is a wasteful number, since it uses less digits than its factorization.

2948078000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2948078000 is about 54296.2061289737. The cubic root of 2948078000 is about 1433.8806034679.

The spelling of 2948078000 in words is "two billion, nine hundred forty-eight million, seventy-eight thousand".