2102818536 has 768 divisors, whose sum is σ = 8273664000. Its totient is φ = 487710720.

The previous prime is 2102818481. The next prime is 2102818541. The reversal of 2102818536 is 6358182012.

It is a happy number.

2102818536 is a `hidden beast` number, since 2 + 102 + 8 + 18 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2102818536.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 67832841 + ... + 67832871.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^2102818536 is an apocalyptic number.

2102818536 is a gapful number since it is divisible by the number (26) 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 2102818536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832000).

2102818536 is an abundant number, since it is smaller than the sum of its proper divisors (6170845464).

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

2102818536 is a wasteful number, since it uses less digits than its factorization.

2102818536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2102818536 is about 45856.4993866736. The cubic root of 2102818536 is about 1281.1518229084.

The spelling of 2102818536 in words is "two billion, one hundred two million, eight hundred eighteen thousand, five hundred thirty-six".