2261400 has 48 divisors (see below), whose sum is σ = 7012200. Its totient is φ = 602880.

The previous prime is 2261393. The next prime is 2261407. The reversal of 2261400 is 41622.

It is an interprime number because it is at equal distance from previous prime (2261393) and next prime (2261407).

It is a super-2 number, since 2×2261400² = 10227859920000, which contains 22 as substring.

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 2261400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261407) 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, 1285 + ... + 2484.

2^2261400 is an apocalyptic number.

2261400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261400 is an abundant number, since it is smaller than the sum of its proper divisors (4750800).

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

2261400 is a wasteful number, since it uses less digits than its factorization.

2261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2261400 is about 1503.7951988220. The cubic root of 2261400 is about 131.2580040470.

The spelling of 2261400 in words is "two million, two hundred sixty-one thousand, four hundred".