2056000 has 56 divisors (see below), whose sum is σ = 5111496. Its totient is φ = 819200.

The previous prime is 2055961. The next prime is 2056001. The reversal of 2056000 is 6502.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 2027776 = 168^2 + 1424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7872 + ... + 8128.

2^2056000 is an apocalyptic number.

2056000 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 2056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555748).

2056000 is an abundant number, since it is smaller than the sum of its proper divisors (3055496).

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

2056000 is an equidigital number, since it uses as much as digits as its factorization.

2056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2056000 is about 1433.8758663148. The cubic root of 2056000 is about 127.1572235947.

The spelling of 2056000 in words is "two million, fifty-six thousand", and thus it is an eban number.