2602000 has 40 divisors (see below), whose sum is σ = 6296472. Its totient is φ = 1040000.

The previous prime is 2601997. The next prime is 2602007. The reversal of 2602000 is 2062.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 1806336 = 892^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2602007) 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, 1350 + ... + 2650.

2^2602000 is an apocalyptic number.

2602000 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 2602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148236).

2602000 is an abundant number, since it is smaller than the sum of its proper divisors (3694472).

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

2602000 is a wasteful number, since it uses less digits than its factorization.

2602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2602000 is about 1613.0716041143. The cubic root of 2602000 is about 137.5421358468.

Adding to 2602000 its reverse (2062), we get a palindrome (2604062).

The spelling of 2602000 in words is "two million, six hundred two thousand".