2142974419200 has 648 divisors, whose sum is σ = 7882172890592. Its totient is φ = 555154145280.

The previous prime is 2142974419169. The next prime is 2142974419211. The reversal of 2142974419200 is 29144792412.

2142974419200 is a `hidden beast` number, since 2 + 1 + 4 + 29 + 7 + 4 + 419 + 200 = 666.

It is a super-2 number, since 2×2142974419200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 478020159 + ... + 478024641.

Almost surely, 2^{2142974419200} is an apocalyptic number.

2142974419200 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 2142974419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941086445296).

2142974419200 is an abundant number, since it is smaller than the sum of its proper divisors (5739198471392).

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

2142974419200 is a wasteful number, since it uses less digits than its factorization.

2142974419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2142974419200 in words is "two trillion, one hundred forty-two billion, nine hundred seventy-four million, four hundred nineteen thousand, two hundred".