2771378610 has 384 divisors, whose sum is σ = 9309634560. Its totient is φ = 512179200.

The previous prime is 2771378609. The next prime is 2771378669. The reversal of 2771378610 is 168731772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12101976 + ... + 12102204.

It is an arithmetic number, because the mean of its divisors is an integer number (24243840).

Almost surely, 2^2771378610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771378610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654817280).

2771378610 is an abundant number, since it is smaller than the sum of its proper divisors (6538255950).

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

2771378610 is a wasteful number, since it uses less digits than its factorization.

2771378610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 2771378610 is about 52643.8848300541. The cubic root of 2771378610 is about 1404.6408254344.

The spelling of 2771378610 in words is "two billion, seven hundred seventy-one million, three hundred seventy-eight thousand, six hundred ten".