2187342144 has 336 divisors, whose sum is σ = 7248550400. Its totient is φ = 649451520.

The previous prime is 2187342133. The next prime is 2187342167. The reversal of 2187342144 is 4412437812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2187342099 and 2187342108.

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, 6267282 + ... + 6267630.

Almost surely, 2^2187342144 is an apocalyptic number.

2187342144 is a gapful number since it is divisible by the number (24) 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 2187342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624275200).

2187342144 is an abundant number, since it is smaller than the sum of its proper divisors (5061208256).

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

2187342144 is a wasteful number, since it uses less digits than its factorization.

2187342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2187342144 is about 46769.0297526044. The cubic root of 2187342144 is about 1298.0922993269.

Adding to 2187342144 its reverse (4412437812), we get a palindrome (6599779956).

The spelling of 2187342144 in words is "two billion, one hundred eighty-seven million, three hundred forty-two thousand, one hundred forty-four".