2948620800 has 240 divisors, whose sum is σ = 10058856192. Its totient is φ = 760627200.

The previous prime is 2948620783. The next prime is 2948620817. The reversal of 2948620800 is 80268492.

It is an interprime number because it is at equal distance from previous prime (2948620783) and next prime (2948620817).

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

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 23 ways as a sum of consecutive naturals, for example, 1189162 + ... + 1191638.

Almost surely, 2^2948620800 is an apocalyptic number.

2948620800 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 2948620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029428096).

2948620800 is an abundant number, since it is smaller than the sum of its proper divisors (7110235392).

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

2948620800 is a wasteful number, since it uses less digits than its factorization.

2948620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2518 counting only the distinct ones).

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

The square root of 2948620800 is about 54301.2044065323. The cubic root of 2948620800 is about 1433.9686000800.

The spelling of 2948620800 in words is "two billion, nine hundred forty-eight million, six hundred twenty thousand, eight hundred".