2602020100 has 27 divisors (see below), whose sum is σ = 5647490751. Its totient is φ = 1040604000.

The previous prime is 2602020073. The next prime is 2602020101. The reversal of 2602020100 is 10202062.

It is a happy number.

The square root of 2602020100 is 51010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1615557636 + 986462464 = 40194^2 + 31408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2602020101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 507550 + ... + 512650.

Almost surely, 2^2602020100 is an apocalyptic number.

2602020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2602020100 is the 51010-th square number.

It is an amenable number.

2602020100 is an abundant number, since it is smaller than the sum of its proper divisors (3045470651).

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

2602020100 is an frugal number, since it uses more digits than its factorization.

2602020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The cubic root of 2602020100 is about 1375.4249000896.

Adding to 2602020100 its reverse (10202062), we get a palindrome (2612222162).

The spelling of 2602020100 in words is "two billion, six hundred two million, twenty thousand, one hundred".