2120448 has 72 divisors (see below), whose sum is σ = 6181056. Its totient is φ = 640000.

The previous prime is 2120429. The next prime is 2120453. The reversal of 2120448 is 8440212.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8323 + ... + 8573.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

2^2120448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528).

2120448 is an abundant number, since it is smaller than the sum of its proper divisors (4060608).

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

2120448 is a wasteful number, since it uses less digits than its factorization.

2120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2120448 is about 1456.1758135610. The cubic root of 2120448 is about 128.4722141116.

Subtracting from 2120448 its product of nonzero digits (512), we obtain a square (2119936 = 1456²).

The spelling of 2120448 in words is "two million, one hundred twenty thousand, four hundred forty-eight".