2102149056 has 224 divisors, whose sum is σ = 6741688320. Its totient is φ = 564710400.

The previous prime is 2102149033. The next prime is 2102149061. The reversal of 2102149056 is 6509412012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2102149056² = 8838061307283382272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4877161 + ... + 4877591.

Almost surely, 2^2102149056 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 2102149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370844160).

2102149056 is an abundant number, since it is smaller than the sum of its proper divisors (4639539264).

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

2102149056 is a wasteful number, since it uses less digits than its factorization.

2102149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2102149056 is about 45849.1990769741. The cubic root of 2102149056 is about 1281.0158472251.

The spelling of 2102149056 in words is "two billion, one hundred two million, one hundred forty-nine thousand, fifty-six".