2948604000 has 384 divisors, whose sum is σ = 10307606400. Its totient is φ = 735436800.

The previous prime is 2948603993. The next prime is 2948604019. The reversal of 2948604000 is 4068492.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12875886 + ... + 12876114.

It is an arithmetic number, because the mean of its divisors is an integer number (26842725).

Almost surely, 2^2948604000 is an apocalyptic number.

2948604000 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 2948604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153803200).

2948604000 is an abundant number, since it is smaller than the sum of its proper divisors (7359002400).

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

2948604000 is a wasteful number, since it uses less digits than its factorization.

2948604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2948604000 is about 54301.0497136105. The cubic root of 2948604000 is about 1433.9658766917.

The spelling of 2948604000 in words is "two billion, nine hundred forty-eight million, six hundred four thousand".