2040727600 has 120 divisors (see below), whose sum is σ = 5332212288. Its totient is φ = 747417600.

The previous prime is 2040727589. The next prime is 2040727603. The reversal of 2040727600 is 67270402.

It is not an unprimeable number, because it can be changed into a prime (2040727603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247545 + ... + 255655.

Almost surely, 2^2040727600 is an apocalyptic number.

2040727600 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 2040727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666106144).

2040727600 is an abundant number, since it is smaller than the sum of its proper divisors (3291484688).

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

2040727600 is a wasteful number, since it uses less digits than its factorization.

2040727600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2040727600 is about 45174.4131118491. The cubic root of 2040727600 is about 1268.4159057876.

The spelling of 2040727600 in words is "two billion, forty million, seven hundred twenty-seven thousand, six hundred".