2072219040 has 576 divisors, whose sum is σ = 8066822400. Its totient is φ = 481738752.

The previous prime is 2072219033. The next prime is 2072219047. The reversal of 2072219040 is 409122702.

It is an interprime number because it is at equal distance from previous prime (2072219033) and next prime (2072219047).

It is a junction number, because it is equal to n+sod(n) for n = 2072218995 and 2072219013.

It is not an unprimeable number, because it can be changed into a prime (2072219047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23283316 + ... + 23283404.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^2072219040 is an apocalyptic number.

2072219040 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 2072219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033411200).

2072219040 is an abundant number, since it is smaller than the sum of its proper divisors (5994603360).

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

2072219040 is a wasteful number, since it uses less digits than its factorization.

2072219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2072219040 is about 45521.6326596488. The cubic root of 2072219040 is about 1274.9071397191.

The spelling of 2072219040 in words is "two billion, seventy-two million, two hundred nineteen thousand, forty".