2100977136 has 320 divisors, whose sum is σ = 6856704000. Its totient is φ = 612437760.

The previous prime is 2100977111. The next prime is 2100977141. The reversal of 2100977136 is 6317790012.

It is a happy number.

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 2100977136.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5852125 + ... + 5852483.

It is an arithmetic number, because the mean of its divisors is an integer number (21427200).

Almost surely, 2^2100977136 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 2100977136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352000).

2100977136 is an abundant number, since it is smaller than the sum of its proper divisors (4755726864).

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

2100977136 is a wasteful number, since it uses less digits than its factorization.

2100977136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2100977136 is about 45836.4171374683. The cubic root of 2100977136 is about 1280.7777532375. Note that the first 4 decimals are identical.

The spelling of 2100977136 in words is "two billion, one hundred million, nine hundred seventy-seven thousand, one hundred thirty-six".