2144620800 has 648 divisors, whose sum is σ = 9133540416. Its totient is φ = 487710720.

The previous prime is 2144620787. The next prime is 2144620813. The reversal of 2144620800 is 80264412.

It is an interprime number because it is at equal distance from previous prime (2144620787) and next prime (2144620813).

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×2144620800³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10886302 + ... + 10886498.

Almost surely, 2^2144620800 is an apocalyptic number.

2144620800 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 2144620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566770208).

2144620800 is an abundant number, since it is smaller than the sum of its proper divisors (6988919616).

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

2144620800 is an equidigital number, since it uses as much as digits as its factorization.

2144620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2144620800 is about 46310.0507449517. The cubic root of 2144620800 is about 1289.5855888970.

The spelling of 2144620800 in words is "two billion, one hundred forty-four million, six hundred twenty thousand, eight hundred".