2101418082360 has 192 divisors, whose sum is σ = 6943084274880. Its totient is φ = 551071365120.

The previous prime is 2101418082349. The next prime is 2101418082377. The reversal of 2101418082360 is 632808141012.

2101418082360 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 418 + 0 + 8 + 236 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149167237 + ... + 149181323.

It is an arithmetic number, because the mean of its divisors is an integer number (36161897265).

Almost surely, 2^{2101418082360} is an apocalyptic number.

2101418082360 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 2101418082360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471542137440).

2101418082360 is an abundant number, since it is smaller than the sum of its proper divisors (4841666192520).

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

2101418082360 is a wasteful number, since it uses less digits than its factorization.

2101418082360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20958 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2101418082360 in words is "two trillion, one hundred one billion, four hundred eighteen million, eighty-two thousand, three hundred sixty".