219248466240 has 224 divisors, whose sum is σ = 733210542720. Its totient is φ = 55354392576.

The previous prime is 219248466181. The next prime is 219248466287. The reversal of 219248466240 is 42664842912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 219248466240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41894664 + ... + 41899896.

Almost surely, 2^219248466240 is an apocalyptic number.

219248466240 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 219248466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366605271360).

219248466240 is an abundant number, since it is smaller than the sum of its proper divisors (513962076480).

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

219248466240 is a wasteful number, since it uses less digits than its factorization.

219248466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 219248466240 in words is "two hundred nineteen billion, two hundred forty-eight million, four hundred sixty-six thousand, two hundred forty".