2086400 has 60 divisors (see below), whose sum is σ = 5200932. Its totient is φ = 829440.

The previous prime is 2086397. The next prime is 2086421. The reversal of 2086400 is 46802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12719 + ... + 12881.

2^2086400 is an apocalyptic number.

2086400 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 2086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600466).

2086400 is an abundant number, since it is smaller than the sum of its proper divisors (3114532).

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

2086400 is an equidigital number, since it uses as much as digits as its factorization.

2086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2086400 is about 1444.4376068214. The cubic root of 2086400 is about 127.7808750912.

It can be divided in two parts, 20 and 86400, that multiplied together give a cube (1728000 = 120³).

The spelling of 2086400 in words is "two million, eighty-six thousand, four hundred".