2101636124280 has 768 divisors, whose sum is σ = 8640840499200. Its totient is φ = 430315637760.

The previous prime is 2101636124279. The next prime is 2101636124407. The reversal of 2101636124280 is 824216361012.

It is a happy number.

2101636124280 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 636 + 12 + 4 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1102063087 + ... + 1102064993.

It is an arithmetic number, because the mean of its divisors is an integer number (11251094400).

Almost surely, 2^{2101636124280} is an apocalyptic number.

2101636124280 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 2101636124280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320420249600).

2101636124280 is an abundant number, since it is smaller than the sum of its proper divisors (6539204374920).

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

2101636124280 is a wasteful number, since it uses less digits than its factorization.

2101636124280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2101636124280 in words is "two trillion, one hundred one billion, six hundred thirty-six million, one hundred twenty-four thousand, two hundred eighty".