2770835648 has 56 divisors (see below), whose sum is σ = 6300825600. Its totient is φ = 1184295168.

The previous prime is 2770835647. The next prime is 2770835657. The reversal of 2770835648 is 8465380772.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2770835596 and 2770835605.

It is not an unprimeable number, because it can be changed into a prime (2770835647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161633 + ... + 177951.

Almost surely, 2^2770835648 is an apocalyptic number.

2770835648 is a gapful number since it is divisible by the number (28) 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 2770835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150412800).

2770835648 is an abundant number, since it is smaller than the sum of its proper divisors (3529989952).

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

2770835648 is a wasteful number, since it uses less digits than its factorization.

2770835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16717 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The square root of 2770835648 is about 52638.7276441975. The cubic root of 2770835648 is about 1404.5490881307.

The spelling of 2770835648 in words is "two billion, seven hundred seventy million, eight hundred thirty-five thousand, six hundred forty-eight".