2144514096 has 240 divisors, whose sum is σ = 6646672800. Its totient is φ = 661782528.

The previous prime is 2144514067. The next prime is 2144514139. The reversal of 2144514096 is 6904154412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144514096.

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, 11111376 + ... + 11111568.

It is an arithmetic number, because the mean of its divisors is an integer number (27694470).

Almost surely, 2^2144514096 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 2144514096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323336400).

2144514096 is an abundant number, since it is smaller than the sum of its proper divisors (4502158704).

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

2144514096 is a wasteful number, since it uses less digits than its factorization.

2144514096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2144514096 is about 46308.8986696941. The cubic root of 2144514096 is about 1289.5642010876.

The spelling of 2144514096 in words is "two billion, one hundred forty-four million, five hundred fourteen thousand, ninety-six".