2104212240 has 180 divisors, whose sum is σ = 7652491236. Its totient is φ = 517929984.

The previous prime is 2104212221. The next prime is 2104212283. The reversal of 2104212240 is 422124012.

2104212240 is a `hidden beast` number, since 2 + 1 + 0 + 421 + 2 + 240 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 981694224 + 1122518016 = 31332^2 + 33504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113034 + ... + 130326.

Almost surely, 2^2104212240 is an apocalyptic number.

2104212240 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 2104212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826245618).

2104212240 is an abundant number, since it is smaller than the sum of its proper divisors (5548278996).

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

2104212240 is a wasteful number, since it uses less digits than its factorization.

2104212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17338 (or 17316 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2104212240 is about 45871.6932323192. The cubic root of 2104212240 is about 1281.4348005818.

Adding to 2104212240 its reverse (422124012), we get a palindrome (2526336252).

The spelling of 2104212240 in words is "two billion, one hundred four million, two hundred twelve thousand, two hundred forty".