2502000 has 120 divisors (see below), whose sum is σ = 8801520. Its totient is φ = 662400.

The previous prime is 2501999. The next prime is 2502001. The reversal of 2502000 is 2052.

It is an interprime number because it is at equal distance from previous prime (2501999) and next prime (2502001).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17931 + ... + 18069.

It is an arithmetic number, because the mean of its divisors is an integer number (73346).

2^2502000 is an apocalyptic number.

2502000 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 2502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400760).

2502000 is an abundant number, since it is smaller than the sum of its proper divisors (6299520).

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

2502000 is a wasteful number, since it uses less digits than its factorization.

2502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2502000 is about 1581.7711591757. The cubic root of 2502000 is about 135.7570634177.

Adding to 2502000 its reverse (2052), we get a palindrome (2504052).

The spelling of 2502000 in words is "two million, five hundred two thousand".