2620728000 has 448 divisors, whose sum is σ = 10498775040. Its totient is φ = 634752000.

The previous prime is 2620727987. The next prime is 2620728001. The reversal of 2620728000 is 8270262.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2620728001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375449 + ... + 2376551.

Almost surely, 2^2620728000 is an apocalyptic number.

2620728000 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 2620728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249387520).

2620728000 is an abundant number, since it is smaller than the sum of its proper divisors (7878047040).

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

2620728000 is a wasteful number, since it uses less digits than its factorization.

2620728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2620728000 is about 51193.0464028075. The cubic root of 2620728000 is about 1378.7133565359.

Adding to 2620728000 its reverse (8270262), we get a palindrome (2628998262).

It can be divided in two parts, 262072 and 8000, that added together give a palindrome (270072).

The spelling of 2620728000 in words is "two billion, six hundred twenty million, seven hundred twenty-eight thousand".