2770316640 has 864 divisors, whose sum is σ = 12498857280. Its totient is φ = 564350976.

The previous prime is 2770316609. The next prime is 2770316657. The reversal of 2770316640 is 466130772.

2770316640 is a `hidden beast` number, since 2 + 7 + 7 + 0 + 3 + 1 + 6 + 640 = 666.

2770316640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 2770316595 and 2770316604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95528146 + ... + 95528174.

It is an arithmetic number, because the mean of its divisors is an integer number (14466270).

Almost surely, 2^2770316640 is an apocalyptic number.

2770316640 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 2770316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249428640).

2770316640 is an abundant number, since it is smaller than the sum of its proper divisors (9728540640).

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

2770316640 is an equidigital number, since it uses as much as digits as its factorization.

2770316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2770316640 is about 52633.7975069251. The cubic root of 2770316640 is about 1404.4613868226.

The spelling of 2770316640 in words is "two billion, seven hundred seventy million, three hundred sixteen thousand, six hundred forty".