2267400 has 48 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 604480.

The previous prime is 2267399. The next prime is 2267407. The reversal of 2267400 is 47622.

It is a happy number.

It is a super-2 number, since 2×2267400² = 10282205520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2267407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2^2267400 is an apocalyptic number.

2267400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2267400 is an abundant number, since it is smaller than the sum of its proper divisors (4763400).

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

2267400 is a wasteful number, since it uses less digits than its factorization.

2267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2267400 is about 1505.7888298165. The cubic root of 2267400 is about 131.3739871453.

It can be divided in two parts, 226 and 7400, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 2267400 in words is "two million, two hundred sixty-seven thousand, four hundred".