2084271778100 has 72 divisors (see below), whose sum is σ = 4628512922880. Its totient is φ = 814239175680.

The previous prime is 2084271778091. The next prime is 2084271778109. The reversal of 2084271778100 is 18771724802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2084271778091) and next prime (2084271778109).

It is a super-2 number, since 2×2084271778100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084271778109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61485956 + ... + 61519844.

Almost surely, 2^{2084271778100} is an apocalyptic number.

2084271778100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084271778100 is an abundant number, since it is smaller than the sum of its proper divisors (2544241144780).

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

2084271778100 is a wasteful number, since it uses less digits than its factorization.

2084271778100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48249 (or 48242 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 47.

The spelling of 2084271778100 in words is "two trillion, eighty-four billion, two hundred seventy-one million, seven hundred seventy-eight thousand, one hundred".