2552016420 has 72 divisors (see below), whose sum is σ = 7785957816. Its totient is φ = 676595712.

The previous prime is 2552016373. The next prime is 2552016449. The reversal of 2552016420 is 246102552.

It can be written as a sum of positive squares in 4 ways, for example, as 446307876 + 2105708544 = 21126^2 + 45888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9837 + ... + 72116.

It is an arithmetic number, because the mean of its divisors is an integer number (108138303).

Almost surely, 2^2552016420 is an apocalyptic number.

2552016420 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 2552016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892978908).

2552016420 is an abundant number, since it is smaller than the sum of its proper divisors (5233941396).

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

2552016420 is a wasteful number, since it uses less digits than its factorization.

2552016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82141 (or 82136 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2552016420 is about 50517.4862795052. The cubic root of 2552016420 is about 1366.5572213235.

Adding to 2552016420 its reverse (246102552), we get a palindrome (2798118972).

The spelling of 2552016420 in words is "two billion, five hundred fifty-two million, sixteen thousand, four hundred twenty".