2772282240 has 1024 divisors, whose sum is σ = 12666931200. Its totient is φ = 557383680.

The previous prime is 2772282221. The next prime is 2772282241. The reversal of 2772282240 is 422822772.

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

It is a junction number, because it is equal to n+sod(n) for n = 2772282195 and 2772282204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772282241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64471659 + ... + 64471701.

It is an arithmetic number, because the mean of its divisors is an integer number (12370050).

Almost surely, 2^2772282240 is an apocalyptic number.

2772282240 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 2772282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333465600).

2772282240 is an abundant number, since it is smaller than the sum of its proper divisors (9894648960).

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

2772282240 is a wasteful number, since it uses less digits than its factorization.

2772282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

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

The square root of 2772282240 is about 52652.4666088874. The cubic root of 2772282240 is about 1404.7934736095.

The spelling of 2772282240 in words is "two billion, seven hundred seventy-two million, two hundred eighty-two thousand, two hundred forty".