2772714240 has 360 divisors, whose sum is σ = 10150176960. Its totient is φ = 722386944.

The previous prime is 2772714227. The next prime is 2772714253. The reversal of 2772714240 is 424172772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2772714227) and next prime (2772714253).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2772714195 and 2772714204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4872676 + ... + 4873244.

It is an arithmetic number, because the mean of its divisors is an integer number (28194936).

Almost surely, 2^2772714240 is an apocalyptic number.

2772714240 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 2772714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075088480).

2772714240 is an abundant number, since it is smaller than the sum of its proper divisors (7377462720).

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

2772714240 is an equidigital number, since it uses as much as digits as its factorization.

2772714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 2772714240 is about 52656.5688209933. The cubic root of 2772714240 is about 1404.8664386744.

The spelling of 2772714240 in words is "two billion, seven hundred seventy-two million, seven hundred fourteen thousand, two hundred forty".