219010531040 has 192 divisors, whose sum is σ = 611136368640. Its totient is φ = 72579870720.

The previous prime is 219010531031. The next prime is 219010531079. The reversal of 219010531040 is 40135010912.

It is a super-2 number, since 2×219010531040² (a number of 23 digits) contains 22 as substring.

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, 33084851 + ... + 33091469.

It is an arithmetic number, because the mean of its divisors is an integer number (3183001920).

Almost surely, 2^219010531040 is an apocalyptic number.

219010531040 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 219010531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305568184320).

219010531040 is an abundant number, since it is smaller than the sum of its proper divisors (392125837600).

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

219010531040 is a wasteful number, since it uses less digits than its factorization.

219010531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 219010531040 its reverse (40135010912), we get a palindrome (259145541952).

The spelling of 219010531040 in words is "two hundred nineteen billion, ten million, five hundred thirty-one thousand, forty".