2449920 has 160 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 573440.

The previous prime is 2449919. The next prime is 2449927. The reversal of 2449920 is 299442.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2449927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84466 + ... + 84494.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

2^2449920 is an apocalyptic number.

2449920 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 2449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

2449920 is an abundant number, since it is smaller than the sum of its proper divisors (6388800).

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

2449920 is a wasteful number, since it uses less digits than its factorization.

2449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2449920 is about 1565.2220289786. Note that the first 3 decimals coincide. The cubic root of 2449920 is about 134.8085076534.

The spelling of 2449920 in words is "two million, four hundred forty-nine thousand, nine hundred twenty".