2144115252400 has 120 divisors (see below), whose sum is σ = 5640270571008. Its totient is φ = 776800800000.

The previous prime is 2144115252361. The next prime is 2144115252403. The reversal of 2144115252400 is 42525114412.

It is not an unprimeable number, because it can be changed into a prime (2144115252403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293325 + ... + 2091475.

Almost surely, 2^{2144115252400} is an apocalyptic number.

2144115252400 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 2144115252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820135285504).

2144115252400 is an abundant number, since it is smaller than the sum of its proper divisors (3496155318608).

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

2144115252400 is a wasteful number, since it uses less digits than its factorization.

2144115252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798451 (or 1798440 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 2144115252400 in words is "two trillion, one hundred forty-four billion, one hundred fifteen million, two hundred fifty-two thousand, four hundred".