2276400 has 120 divisors (see below), whose sum is σ = 8364544. Its totient is φ = 518400.

The previous prime is 2276399. The next prime is 2276401. The reversal of 2276400 is 46722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2276399) and next prime (2276401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2276401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8265 + ... + 8535.

2^2276400 is an apocalyptic number.

2276400 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 2276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182272).

2276400 is an abundant number, since it is smaller than the sum of its proper divisors (6088144).

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

2276400 is a wasteful number, since it uses less digits than its factorization.

2276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

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

The square root of 2276400 is about 1508.7743370034. The cubic root of 2276400 is about 131.5475787679.

The spelling of 2276400 in words is "two million, two hundred seventy-six thousand, four hundred".