2041200640 has 60 divisors (see below), whose sum is σ = 4898928636. Its totient is φ = 816447488.

The previous prime is 2041200569. The next prime is 2041200649. The reversal of 2041200640 is 460021402.

It can be written as a sum of positive squares in 2 ways, for example, as 1073741824 + 967458816 = 32768^2 + 31104^2 .

It is not an unprimeable number, because it can be changed into a prime (2041200649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69462 + ... + 94378.

Almost surely, 2^2041200640 is an apocalyptic number.

2041200640 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 2041200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449464318).

2041200640 is an abundant number, since it is smaller than the sum of its proper divisors (2857727996).

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

2041200640 is an frugal number, since it uses more digits than its factorization.

2041200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24950 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2041200640 is about 45179.6485156757. The cubic root of 2041200640 is about 1268.5139043487.

The spelling of 2041200640 in words is "two billion, forty-one million, two hundred thousand, six hundred forty".