2400128 has 32 divisors (see below), whose sum is σ = 5067360. Its totient is φ = 1128448.

The previous prime is 2400109. The next prime is 2400143. The reversal of 2400128 is 8210042.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2400128² = 11521228832768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1625 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (158355).

2^2400128 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 2400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533680).

2400128 is an abundant number, since it is smaller than the sum of its proper divisors (2667232).

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

2400128 is a wasteful number, since it uses less digits than its factorization.

2400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2400128 is about 1549.2346497545. The cubic root of 2400128 is about 133.8889701802. Note that the first 3 decimals are identical.

The spelling of 2400128 in words is "two million, four hundred thousand, one hundred twenty-eight".