2041205760 has 264 divisors, whose sum is σ = 7717615776. Its totient is φ = 494714880.

The previous prime is 2041205737. The next prime is 2041205773. The reversal of 2041205760 is 675021402.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504867 + ... + 508893.

Almost surely, 2^2041205760 is an apocalyptic number.

2041205760 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 2041205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858807888).

2041205760 is an abundant number, since it is smaller than the sum of its proper divisors (5676410016).

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

2041205760 is a wasteful number, since it uses less digits than its factorization.

2041205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2041205760 is about 45179.7051783209. The cubic root of 2041205760 is about 1268.5149649640.

The spelling of 2041205760 in words is "two billion, forty-one million, two hundred five thousand, seven hundred sixty".