2819427072 has 360 divisors, whose sum is σ = 9618409920. Its totient is φ = 727050240.

The previous prime is 2819427007. The next prime is 2819427077. The reversal of 2819427072 is 2707249182.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819427077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20283579 + ... + 20283717.

Almost surely, 2^2819427072 is an apocalyptic number.

2819427072 is a gapful number since it is divisible by the number (22) 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 2819427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809204960).

2819427072 is an abundant number, since it is smaller than the sum of its proper divisors (6798982848).

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

2819427072 is an equidigital number, since it uses as much as digits as its factorization.

2819427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2819427072 is about 53098.2774861859. The cubic root of 2819427072 is about 1412.7119597546.

The spelling of 2819427072 in words is "two billion, eight hundred nineteen million, four hundred twenty-seven thousand, seventy-two".