2424072 has 64 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 675648.

The previous prime is 2424029. The next prime is 2424073. The reversal of 2424072 is 2704242.

It is a super-2 number, since 2×2424072² = 11752250122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2424073) 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, 7743 + ... + 8049.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

2^2424072 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 2424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2424072 is an abundant number, since it is smaller than the sum of its proper divisors (4672248).

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

2424072 is a wasteful number, since it uses less digits than its factorization.

2424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2424072 is about 1556.9431588854. The cubic root of 2424072 is about 134.3327292316.

The spelling of 2424072 in words is "two million, four hundred twenty-four thousand, seventy-two".