2041638000 has 160 divisors (see below), whose sum is σ = 6615648000. Its totient is φ = 541676800.

The previous prime is 2041637999. The next prime is 2041638047. The reversal of 2041638000 is 8361402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1361251 + ... + 1362749.

It is an arithmetic number, because the mean of its divisors is an integer number (41347800).

Almost surely, 2^2041638000 is an apocalyptic number.

2041638000 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 2041638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824000).

2041638000 is an abundant number, since it is smaller than the sum of its proper divisors (4574010000).

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

2041638000 is a wasteful number, since it uses less digits than its factorization.

2041638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2041638000 is about 45184.4884888609. The cubic root of 2041638000 is about 1268.6044977002.

Adding to 2041638000 its reverse (8361402), we get a palindrome (2049999402).

The spelling of 2041638000 in words is "two billion, forty-one million, six hundred thirty-eight thousand".