2041821864 has 64 divisors (see below), whose sum is σ = 5683305600. Its totient is φ = 679218048.

The previous prime is 2041821823. The next prime is 2041821877. The reversal of 2041821864 is 4681281402.

2041821864 is a `hidden beast` number, since 20 + 418 + 218 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99252 + ... + 118044.

It is an arithmetic number, because the mean of its divisors is an integer number (88801650).

Almost surely, 2^2041821864 is an apocalyptic number.

2041821864 is a gapful number since it is divisible by the number (24) 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 2041821864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841652800).

2041821864 is an abundant number, since it is smaller than the sum of its proper divisors (3641483736).

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

2041821864 is a wasteful number, since it uses less digits than its factorization.

2041821864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19301 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2041821864 is about 45186.5230350820. The cubic root of 2041821864 is about 1268.6425788383.

The spelling of 2041821864 in words is "two billion, forty-one million, eight hundred twenty-one thousand, eight hundred sixty-four".