2400272 has 40 divisors (see below), whose sum is σ = 5505600. Its totient is φ = 991872.

The previous prime is 2400271. The next prime is 2400283. The reversal of 2400272 is 2720042.

It is a super-2 number, since 2×2400272² = 11522611347968, which contains 22 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2400272.

It is not an unprimeable number, because it can be changed into a prime (2400271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2879 + ... + 3617.

It is an arithmetic number, because the mean of its divisors is an integer number (137640).

2^2400272 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 2400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752800).

2400272 is an abundant number, since it is smaller than the sum of its proper divisors (3105328).

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

2400272 is a wasteful number, since it uses less digits than its factorization.

2400272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2400272 is about 1549.2811236183. The cubic root of 2400272 is about 133.8916477632.

The spelling of 2400272 in words is "two million, four hundred thousand, two hundred seventy-two".