2601000 has 144 divisors (see below), whose sum is σ = 9338940. Its totient is φ = 652800.

The previous prime is 2600977. The next prime is 2601023. The reversal of 2601000 is 1062.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2600977) and next prime (2601023).

It can be written as a sum of positive squares in 6 ways, for example, as 544644 + 2056356 = 738^2 + 1434^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152992 + ... + 153008.

2^2601000 is an apocalyptic number.

2601000 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 2601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669470).

2601000 is an abundant number, since it is smaller than the sum of its proper divisors (6737940).

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

2601000 is a wasteful number, since it uses less digits than its factorization.

2601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2601000 is about 1612.7616066859. The cubic root of 2601000 is about 137.5245135358.

Adding to 2601000 its reverse (1062), we get a palindrome (2602062).

The spelling of 2601000 in words is "two million, six hundred one thousand".