2612000 has 48 divisors (see below), whose sum is σ = 6427512. Its totient is φ = 1043200.

The previous prime is 2611997. The next prime is 2612003. The reversal of 2612000 is 2162.

2612000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2611997) and next prime (2612003).

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 2155024 = 676^2 + 1468^2 .

It is not an unprimeable number, because it can be changed into a prime (2612003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3674 + ... + 4326.

2^2612000 is an apocalyptic number.

2612000 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 2612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213756).

2612000 is an abundant number, since it is smaller than the sum of its proper divisors (3815512).

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

2612000 is an equidigital number, since it uses as much as digits as its factorization.

2612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2612000 is about 1616.1683080670. The cubic root of 2612000 is about 137.7181111358.

Adding to 2612000 its reverse (2162), we get a palindrome (2614162).

The spelling of 2612000 in words is "two million, six hundred twelve thousand".