2108583633240 has 1024 divisors, whose sum is σ = 8682246144000. Its totient is φ = 444426393600.

The previous prime is 2108583633203. The next prime is 2108583633241. The reversal of 2108583633240 is 423363858012.

2108583633240 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 5 + 8 + 3 + 633 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×2108583633240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108583633241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3007964890 + ... + 3007965590.

It is an arithmetic number, because the mean of its divisors is an integer number (8478756000).

Almost surely, 2^{2108583633240} is an apocalyptic number.

2108583633240 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 2108583633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341123072000).

2108583633240 is an abundant number, since it is smaller than the sum of its proper divisors (6573662510760).

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

2108583633240 is a wasteful number, since it uses less digits than its factorization.

2108583633240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2108583633240 in words is "two trillion, one hundred eight billion, five hundred eighty-three million, six hundred thirty-three thousand, two hundred forty".