2144363100 has 144 divisors (see below), whose sum is σ = 6850811520. Its totient is φ = 513516800.

The previous prime is 2144363069. The next prime is 2144363113. The reversal of 2144363100 is 13634412.

It is a super-2 number, since 2×2144363100² = 9196586209283220000, 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 47 ways as a sum of consecutive naturals, for example, 269986 + ... + 277814.

It is an arithmetic number, because the mean of its divisors is an integer number (47575080).

Almost surely, 2^2144363100 is an apocalyptic number.

2144363100 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 2144363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425405760).

2144363100 is an abundant number, since it is smaller than the sum of its proper divisors (4706448420).

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

2144363100 is a wasteful number, since it uses less digits than its factorization.

2144363100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2144363100 is about 46307.2683279850. The cubic root of 2144363100 is about 1289.5339341526.

Adding to 2144363100 its reverse (13634412), we get a palindrome (2157997512).

The spelling of 2144363100 in words is "two billion, one hundred forty-four million, three hundred sixty-three thousand, one hundred".