2820477072 has 160 divisors (see below), whose sum is σ = 8848576512. Its totient is φ = 755730432.

The previous prime is 2820477071. The next prime is 2820477073. The reversal of 2820477072 is 2707740282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2820477071) and next prime (2820477073).

It is a self number, because there is not a number n which added to its sum of digits gives 2820477072.

It is not an unprimeable number, because it can be changed into a prime (2820477071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981353 + ... + 1982775.

Almost surely, 2^2820477072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424288256).

2820477072 is an abundant number, since it is smaller than the sum of its proper divisors (6028099440).

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

2820477072 is a wasteful number, since it uses less digits than its factorization.

2820477072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 2820477072 is about 53108.1638921927. The cubic root of 2820477072 is about 1412.8873102091.

The spelling of 2820477072 in words is "two billion, eight hundred twenty million, four hundred seventy-seven thousand, seventy-two".