2400264 has 96 divisors (see below), whose sum is σ = 7202520. Its totient is φ = 718848.

The previous prime is 2400259. The next prime is 2400271. The reversal of 2400264 is 4620042.

2400264 is a `hidden beast` number, since 2 + 400 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2377764 + 22500 = 1542^2 + 150^2 .

It is a super-2 number, since 2×2400264² = 11522534539392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

2400264 is a modest number, since divided by 264 gives 240 as remainder.

It is a zygodrome in base 3.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45262 + ... + 45314.

2^2400264 is an apocalyptic number.

2400264 is a gapful number since it is divisible by the number (24) 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 2400264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601260).

2400264 is an abundant number, since it is smaller than the sum of its proper divisors (4802256).

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

2400264 is a wasteful number, since it uses less digits than its factorization.

2400264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2400264 is about 1549.2785417736. The cubic root of 2400264 is about 133.8914990114.

The spelling of 2400264 in words is "two million, four hundred thousand, two hundred sixty-four".