2772073640 has 64 divisors (see below), whose sum is σ = 7173705600. Its totient is φ = 944356608.

The previous prime is 2772073637. The next prime is 2772073649. The reversal of 2772073640 is 463702772.

2772073640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2772073594 and 2772073603.

It is not an unprimeable number, because it can be changed into a prime (2772073649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12431 + ... + 75489.

It is an arithmetic number, because the mean of its divisors is an integer number (112089150).

Almost surely, 2^2772073640 is an apocalyptic number.

2772073640 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 2772073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586852800).

2772073640 is an abundant number, since it is smaller than the sum of its proper divisors (4401631960).

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

2772073640 is a wasteful number, since it uses less digits than its factorization.

2772073640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63234 (or 63230 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 38.

The square root of 2772073640 is about 52650.4856577791. The cubic root of 2772073640 is about 1404.7582382278.

The spelling of 2772073640 in words is "two billion, seven hundred seventy-two million, seventy-three thousand, six hundred forty".