2356000 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 864000.

The previous prime is 2355973. The next prime is 2356001. The reversal of 2356000 is 6532.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2356001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75985 + ... + 76015.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^2356000 is an apocalyptic number.

2356000 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 2356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2356000 is an abundant number, since it is smaller than the sum of its proper divisors (3933920).

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

2356000 is a wasteful number, since it uses less digits than its factorization.

2356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2356000 is about 1534.9267083480. The cubic root of 2356000 is about 133.0633425452.

The spelling of 2356000 in words is "two million, three hundred fifty-six thousand".