2144715408 has 400 divisors, whose sum is σ = 7328673792. Its totient is φ = 598752000.

The previous prime is 2144715379. The next prime is 2144715457. The reversal of 2144715408 is 8045174412.

It is a happy number.

2144715408 is a `hidden beast` number, since 2 + 1 + 44 + 71 + 540 + 8 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10164423 + ... + 10164633.

Almost surely, 2^2144715408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144715408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664336896).

2144715408 is an abundant number, since it is smaller than the sum of its proper divisors (5183958384).

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

2144715408 is a wasteful number, since it uses less digits than its factorization.

2144715408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2144715408 is about 46311.0721966141. The cubic root of 2144715408 is about 1289.6045515841.

The spelling of 2144715408 in words is "two billion, one hundred forty-four million, seven hundred fifteen thousand, four hundred eight".