2827422720 has 352 divisors, whose sum is σ = 10193077440. Its totient is φ = 743178240.

The previous prime is 2827422709. The next prime is 2827422727. The reversal of 2827422720 is 272247282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2827422727) 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, 15621030 + ... + 15621210.

Almost surely, 2^2827422720 is an apocalyptic number.

2827422720 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 2827422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096538720).

2827422720 is an abundant number, since it is smaller than the sum of its proper divisors (7365654720).

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

2827422720 is a wasteful number, since it uses less digits than its factorization.

2827422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2827422720 is about 53173.5152119925. The cubic root of 2827422720 is about 1414.0461417629.

The spelling of 2827422720 in words is "two billion, eight hundred twenty-seven million, four hundred twenty-two thousand, seven hundred twenty".