2620072200 has 192 divisors, whose sum is σ = 8440084800. Its totient is φ = 671846400.

The previous prime is 2620072187. The next prime is 2620072219. The reversal of 2620072200 is 22700262.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795071 + ... + 1796529.

It is an arithmetic number, because the mean of its divisors is an integer number (43958775).

Almost surely, 2^2620072200 is an apocalyptic number.

2620072200 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 2620072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220042400).

2620072200 is an abundant number, since it is smaller than the sum of its proper divisors (5820012600).

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

2620072200 is a wasteful number, since it uses less digits than its factorization.

2620072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2620072200 is about 51186.6408352804. The cubic root of 2620072200 is about 1378.5983457899.

Adding to 2620072200 its reverse (22700262), we get a palindrome (2642772462).

The spelling of 2620072200 in words is "two billion, six hundred twenty million, seventy-two thousand, two hundred".