2602130820 has 96 divisors (see below), whose sum is σ = 7502936448. Its totient is φ = 673339392.

The previous prime is 2602130803. The next prime is 2602130831. The reversal of 2602130820 is 280312062.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959907 + ... + 962613.

It is an arithmetic number, because the mean of its divisors is an integer number (78155588).

Almost surely, 2^2602130820 is an apocalyptic number.

2602130820 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 2602130820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751468224).

2602130820 is an abundant number, since it is smaller than the sum of its proper divisors (4900805628).

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

2602130820 is a wasteful number, since it uses less digits than its factorization.

2602130820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2602130820 is about 51011.0852658518. The cubic root of 2602130820 is about 1375.4444086354. Note that the first 4 decimals are identical.

Adding to 2602130820 its reverse (280312062), we get a palindrome (2882442882).

It can be divided in two parts, 260 and 2130820, that added together give a triangular number (2131080 = T₂₀₆₄).

The spelling of 2602130820 in words is "two billion, six hundred two million, one hundred thirty thousand, eight hundred twenty".