2149180800 has 384 divisors, whose sum is σ = 8079795360. Its totient is φ = 497418240.

The previous prime is 2149180777. The next prime is 2149180829. The reversal of 2149180800 is 80819412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2149180800² = 9237956222177280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121094 + ... + 2122106.

Almost surely, 2^2149180800 is an apocalyptic number.

2149180800 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 2149180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039897680).

2149180800 is an abundant number, since it is smaller than the sum of its proper divisors (5930614560).

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

2149180800 is a wasteful number, since it uses less digits than its factorization.

2149180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2149180800 is about 46359.2579750798. The cubic root of 2149180800 is about 1290.4989356590.

The spelling of 2149180800 in words is "two billion, one hundred forty-nine million, one hundred eighty thousand, eight hundred".