2778610920 has 128 divisors (see below), whose sum is σ = 8880883200. Its totient is φ = 693460224.

The previous prime is 2778610853. The next prime is 2778610921. The reversal of 2778610920 is 290168772.

It is not an unprimeable number, because it can be changed into a prime (2778610921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 181899 + ... + 196581.

It is an arithmetic number, because the mean of its divisors is an integer number (69381900).

Almost surely, 2^2778610920 is an apocalyptic number.

2778610920 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 2778610920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440441600).

2778610920 is an abundant number, since it is smaller than the sum of its proper divisors (6102272280).

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

2778610920 is a wasteful number, since it uses less digits than its factorization.

2778610920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799 (or 14795 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 2778610920 is about 52712.5309580179. The cubic root of 2778610920 is about 1405.8616346608.

The spelling of 2778610920 in words is "two billion, seven hundred seventy-eight million, six hundred ten thousand, nine hundred twenty".