2027605600 has 72 divisors (see below), whose sum is σ = 4956901488. Its totient is φ = 809894400.

The previous prime is 2027605597. The next prime is 2027605607. The reversal of 2027605600 is 65067202.

It is a super-2 number, since 2×2027605600² = 8222368938302720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027605607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772290 + ... + 774910.

It is an arithmetic number, because the mean of its divisors is an integer number (68845854).

Almost surely, 2^2027605600 is an apocalyptic number.

2027605600 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 2027605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478450744).

2027605600 is an abundant number, since it is smaller than the sum of its proper divisors (2929295888).

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

2027605600 is a wasteful number, since it uses less digits than its factorization.

2027605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2027605600 is about 45028.9418041330. The cubic root of 2027605600 is about 1265.6913945558.

The spelling of 2027605600 in words is "two billion, twenty-seven million, six hundred five thousand, six hundred".