219042740 has 72 divisors (see below), whose sum is σ = 540632232. Its totient is φ = 74323200.

The previous prime is 219042689. The next prime is 219042749. The reversal of 219042740 is 47240912.

219042740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 148011556 + 71031184 = 12166^2 + 8428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219042749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97874 + ... + 100086.

It is an arithmetic number, because the mean of its divisors is an integer number (7508781).

Almost surely, 2^219042740 is an apocalyptic number.

219042740 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 219042740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270316116).

219042740 is an abundant number, since it is smaller than the sum of its proper divisors (321589492).

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

219042740 is a wasteful number, since it uses less digits than its factorization.

219042740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 219042740 is about 14800.0925672781. The cubic root of 219042740 is about 602.8042253012.

The spelling of 219042740 in words is "two hundred nineteen million, forty-two thousand, seven hundred forty".