219035040 has 384 divisors, whose sum is σ = 859299840. Its totient is φ = 45785088.

The previous prime is 219035023. The next prime is 219035053. The reversal of 219035040 is 40530912.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 219035040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3000444 + ... + 3000516.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2^219035040 is an apocalyptic number.

219035040 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 219035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

219035040 is an abundant number, since it is smaller than the sum of its proper divisors (640264800).

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

219035040 is a wasteful number, since it uses less digits than its factorization.

219035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 219035040 is about 14799.8324314838. The cubic root of 219035040 is about 602.7971617681.

Adding to 219035040 its reverse (40530912), we get a palindrome (259565952).

It can be divided in two parts, 2190 and 35040, that multiplied together give a square (76737600 = 8760²).

The spelling of 219035040 in words is "two hundred nineteen million, thirty-five thousand, forty".