2262500 has 36 divisors (see below), whose sum is σ = 4976244. Its totient is φ = 900000.

The previous prime is 2262499. The next prime is 2262521. The reversal of 2262500 is 52622.

It can be written as a sum of positive squares in 6 ways, for example, as 2244004 + 18496 = 1498^2 + 136^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12410 + ... + 12590.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

2^2262500 is an apocalyptic number.

2262500 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 2262500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488122).

2262500 is an abundant number, since it is smaller than the sum of its proper divisors (2713744).

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

2262500 is an equidigital number, since it uses as much as digits as its factorization.

2262500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2262500 is about 1504.1608956491. The cubic root of 2262500 is about 131.2792829598.

The spelling of 2262500 in words is "two million, two hundred sixty-two thousand, five hundred".