2270400 has 168 divisors, whose sum is σ = 8314944. Its totient is φ = 537600.

The previous prime is 2270393. The next prime is 2270407. The reversal of 2270400 is 40722.

It is an interprime number because it is at equal distance from previous prime (2270393) and next prime (2270407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2270400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270407) 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 23 ways as a sum of consecutive naturals, for example, 52779 + ... + 52821.

2^2270400 is an apocalyptic number.

2270400 is a gapful number since it is divisible by the number (20) 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 2270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157472).

2270400 is an abundant number, since it is smaller than the sum of its proper divisors (6044544).

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

2270400 is a wasteful number, since it uses less digits than its factorization.

2270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2270400 is about 1506.7846561470. The cubic root of 2270400 is about 131.4319019770.

The spelling of 2270400 in words is "two million, two hundred seventy thousand, four hundred".