219048240000 has 640 divisors, whose sum is σ = 755214878880. Its totient is φ = 56197120000.

The previous prime is 219048239989. The next prime is 219048240001. The reversal of 219048240000 is 42840912.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 219048240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219048240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1111919902 + ... + 1111920098.

Almost surely, 2^219048240000 is an apocalyptic number.

219048240000 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 219048240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377607439440).

219048240000 is an abundant number, since it is smaller than the sum of its proper divisors (536166638880).

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

219048240000 is a wasteful number, since it uses less digits than its factorization.

219048240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 219048240000 in words is "two hundred nineteen billion, forty-eight million, two hundred forty thousand".