2100013776 has 360 divisors, whose sum is σ = 7234578624. Its totient is φ = 587865600.

The previous prime is 2100013771. The next prime is 2100013841. The reversal of 2100013776 is 6773100012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100013771) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 13907301 + ... + 13907451.

Almost surely, 2^2100013776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100013776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617289312).

2100013776 is an abundant number, since it is smaller than the sum of its proper divisors (5134564848).

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

2100013776 is a wasteful number, since it uses less digits than its factorization.

2100013776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2100013776 is about 45825.9072577947. The cubic root of 2100013776 is about 1280.5819651811.

Adding to 2100013776 its reverse (6773100012), we get a palindrome (8873113788).

The spelling of 2100013776 in words is "two billion, one hundred million, thirteen thousand, seven hundred seventy-six".