2141487014800 has 480 divisors, whose sum is σ = 6383184521472. Its totient is φ = 673629143040.

The previous prime is 2141487014753. The next prime is 2141487014803. The reversal of 2141487014800 is 84107841412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2141487014803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1795043004 + ... + 1795044196.

Almost surely, 2^{2141487014800} is an apocalyptic number.

2141487014800 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 2141487014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191592260736).

2141487014800 is an abundant number, since it is smaller than the sum of its proper divisors (4241697506672).

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

2141487014800 is a wasteful number, since it uses less digits than its factorization.

2141487014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 2141487014800 in words is "two trillion, one hundred forty-one billion, four hundred eighty-seven million, fourteen thousand, eight hundred".