2144615202240 has 224 divisors, whose sum is σ = 7829635100160. Its totient is φ = 487190163456.

The previous prime is 2144615202239. The next prime is 2144615202263. The reversal of 2144615202240 is 422025164412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2144615202240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116406 + ... + 2074314.

Almost surely, 2^{2144615202240} is an apocalyptic number.

2144615202240 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 2144615202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914817550080).

2144615202240 is an abundant number, since it is smaller than the sum of its proper divisors (5685019897920).

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

2144615202240 is a wasteful number, since it uses less digits than its factorization.

2144615202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958099 (or 1958089 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 2144615202240 in words is "two trillion, one hundred forty-four billion, six hundred fifteen million, two hundred two thousand, two hundred forty".