2771790840 has 960 divisors, whose sum is σ = 12513916800. Its totient is φ = 543449088.

The previous prime is 2771790829. The next prime is 2771790859. The reversal of 2771790840 is 480971772.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 35085921 + ... + 35085999.

It is an arithmetic number, because the mean of its divisors is an integer number (13035330).

Almost surely, 2^2771790840 is an apocalyptic number.

2771790840 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 2771790840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256958400).

2771790840 is an abundant number, since it is smaller than the sum of its proper divisors (9742125960).

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

2771790840 is a wasteful number, since it uses less digits than its factorization.

2771790840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 2771790840 is about 52647.7999540342. The cubic root of 2771790840 is about 1404.7104666325.

The spelling of 2771790840 in words is "two billion, seven hundred seventy-one million, seven hundred ninety thousand, eight hundred forty".