5002000 has 80 divisors (see below), whose sum is σ = 12592944. Its totient is φ = 1920000.

The previous prime is 5001979. The next prime is 5002001. The reversal of 5002000 is 2005.

It can be written as a sum of positive squares in 8 ways, for example, as 4309776 + 692224 = 2076^2 + 832^2 .

It is a sliding number, since 5002000 = 2000 + 5000000 and 1/2000 + 1/5000000 = 0.0005002000.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81970 + ... + 82030.

Almost surely, 2^5002000 is an apocalyptic number.

5002000 is a gapful number since it is divisible by the number (50) 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 5002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472).

5002000 is an abundant number, since it is smaller than the sum of its proper divisors (7590944).

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

5002000 is a wasteful number, since it uses less digits than its factorization.

5002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 5002000 is about 2236.5151463829. The cubic root of 5002000 is about 171.0203913077.

Adding to 5002000 its reverse (2005), we get a palindrome (5004005).

It can be divided in two parts, 500 and 2000, that multiplied together give a 6-th power (1000000 = 10⁶).

The spelling of 5002000 in words is "five million, two thousand".