2028601600 has 81 divisors (see below), whose sum is σ = 5030040253. Its totient is φ = 809999360.

The previous prime is 2028601559. The next prime is 2028601613. The reversal of 2028601600 is 61068202.

The square root of 2028601600 is 45040.

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

It can be written as a sum of positive squares in only one way, i.e., 730296576 + 1298305024 = 27024^2 + 36032^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3602919 + ... + 3603481.

Almost surely, 2^2028601600 is an apocalyptic number.

2028601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2028601600 is the 45040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028601600

2028601600 is an abundant number, since it is smaller than the sum of its proper divisors (3001438653).

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

2028601600 is an frugal number, since it uses more digits than its factorization.

2028601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 2028601600 is about 1265.8986048519.

Multiplying 2028601600 by its sum of digits (25), we get a square (50715040000 = 225200²).

2028601600 divided by its sum of digits (25) gives a square (81144064 = 9008²).

Adding to 2028601600 its reverse (61068202), we get a palindrome (2089669802).

The spelling of 2028601600 in words is "two billion, twenty-eight million, six hundred one thousand, six hundred".