2696000 has 56 divisors (see below), whose sum is σ = 6696456. Its totient is φ = 1075200.

The previous prime is 2695999. The next prime is 2696003. The reversal of 2696000 is 6962.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 2408704 = 536^2 + 1552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2696003) 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 7 ways as a sum of consecutive naturals, for example, 7832 + ... + 8168.

2^2696000 is an apocalyptic number.

2696000 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 2696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348228).

2696000 is an abundant number, since it is smaller than the sum of its proper divisors (4000456).

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

2696000 is an equidigital number, since it uses as much as digits as its factorization.

2696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2696000 is about 1641.9500601419. The cubic root of 2696000 is about 139.1788667437.

The spelling of 2696000 in words is "two million, six hundred ninety-six thousand".