2144953923840 has 864 divisors, whose sum is σ = 9472347446016. Its totient is φ = 452555735040.

The previous prime is 2144953923811. The next prime is 2144953923841. The reversal of 2144953923840 is 483293594412.

It is a happy number.

2144953923840 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 9 + 539 + 23 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2144953923840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2144953923841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28266750 + ... + 28342530.

Almost surely, 2^{2144953923840} is an apocalyptic number.

2144953923840 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 2144953923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736173723008).

2144953923840 is an abundant number, since it is smaller than the sum of its proper divisors (7327393522176).

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

2144953923840 is an equidigital number, since it uses as much as digits as its factorization.

2144953923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75837 (or 75811 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2144953923840 in words is "two trillion, one hundred forty-four billion, nine hundred fifty-three million, nine hundred twenty-three thousand, eight hundred forty".