2040645600 has 432 divisors, whose sum is σ = 8660695680. Its totient is φ = 441676800.

The previous prime is 2040645533. The next prime is 2040645601. The reversal of 2040645600 is 65460402.

It is a happy number.

2040645600 is a `hidden beast` number, since 2 + 0 + 40 + 64 + 560 + 0 = 666.

2040645600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040645601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 956535 + ... + 958665.

Almost surely, 2^2040645600 is an apocalyptic number.

2040645600 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 2040645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330347840).

2040645600 is an abundant number, since it is smaller than the sum of its proper divisors (6620050080).

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

2040645600 is a wasteful number, since it uses less digits than its factorization.

2040645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2040645600 is about 45173.5055093138. The cubic root of 2040645600 is about 1268.3989165044.

The spelling of 2040645600 in words is "two billion, forty million, six hundred forty-five thousand, six hundred".