2082283149240 has 512 divisors, whose sum is σ = 8361821952000. Its totient is φ = 450262499328.

The previous prime is 2082283149211. The next prime is 2082283149263. The reversal of 2082283149240 is 429413822802.

2082283149240 is a `hidden beast` number, since 2 + 0 + 82 + 2 + 83 + 1 + 492 + 4 + 0 = 666.

It is a super-2 number, since 2×2082283149240² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105278232 + ... + 105298008.

It is an arithmetic number, because the mean of its divisors is an integer number (16331683500).

Almost surely, 2^{2082283149240} is an apocalyptic number.

2082283149240 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 2082283149240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180910976000).

2082283149240 is an abundant number, since it is smaller than the sum of its proper divisors (6279538802760).

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

2082283149240 is a wasteful number, since it uses less digits than its factorization.

2082283149240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 20546 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2082283149240 in words is "two trillion, eighty-two billion, two hundred eighty-three million, one hundred forty-nine thousand, two hundred forty".