2144250511000 has 256 divisors, whose sum is σ = 5818372560000. Its totient is φ = 732517171200.

The previous prime is 2144250510953. The next prime is 2144250511063. The reversal of 2144250511000 is 1150524412.

It is a super-2 number, since 2×2144250511000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12956776 + ... + 13121224.

Almost surely, 2^{2144250511000} is an apocalyptic number.

2144250511000 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 2144250511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909186280000).

2144250511000 is an abundant number, since it is smaller than the sum of its proper divisors (3674122049000).

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

2144250511000 is a wasteful number, since it uses less digits than its factorization.

2144250511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164559 (or 164545 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 2144250511000 in words is "two trillion, one hundred forty-four billion, two hundred fifty million, five hundred eleven thousand".