2149963200 has 756 divisors, whose sum is σ = 9732169512. Its totient is φ = 445132800.

The previous prime is 2149963133. The next prime is 2149963219. The reversal of 2149963200 is 23699412.

2149963200 is a `hidden beast` number, since 2 + 14 + 9 + 9 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×2149963200² = 9244683522708480000, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761462 + ... + 7761738.

Almost surely, 2^2149963200 is an apocalyptic number.

2149963200 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 2149963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866084756).

2149963200 is an abundant number, since it is smaller than the sum of its proper divisors (7582206312).

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

2149963200 is a wasteful number, since it uses less digits than its factorization.

2149963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2149963200 is about 46367.6956511751. The cubic root of 2149963200 is about 1290.6555168500.

The spelling of 2149963200 in words is "two billion, one hundred forty-nine million, nine hundred sixty-three thousand, two hundred".