2776842240 has 120 divisors (see below), whose sum is σ = 8886410400. Its totient is φ = 740425728.

The previous prime is 2776842217. The next prime is 2776842251. The reversal of 2776842240 is 422486772.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2776842192 and 2776842201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240111 + ... + 251409.

It is an arithmetic number, because the mean of its divisors is an integer number (74053420).

Almost surely, 2^2776842240 is an apocalyptic number.

2776842240 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 2776842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443205200).

2776842240 is an abundant number, since it is smaller than the sum of its proper divisors (6109568160).

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

2776842240 is an equidigital number, since it uses as much as digits as its factorization.

2776842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2776842240 is about 52695.7516314171. The cubic root of 2776842240 is about 1405.5632784919.

The spelling of 2776842240 in words is "two billion, seven hundred seventy-six million, eight hundred forty-two thousand, two hundred forty".