2948800 has 84 divisors (see below), whose sum is σ = 7716520. Its totient is φ = 1105920.

The previous prime is 2948797. The next prime is 2948839. The reversal of 2948800 is 88492.

2948800 = T₂₇₁ + T₂₇₂ + ... + T₃₃₄.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30352 + ... + 30448.

2^2948800 is an apocalyptic number.

2948800 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 2948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858260).

2948800 is an abundant number, since it is smaller than the sum of its proper divisors (4767720).

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

2948800 is a wasteful number, since it uses less digits than its factorization.

2948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2948800 is about 1717.2070346933. The cubic root of 2948800 is about 143.3997648912.

The spelling of 2948800 in words is "two million, nine hundred forty-eight thousand, eight hundred".