2777324640 has 48 divisors (see below), whose sum is σ = 8748574128. Its totient is φ = 740619776.

The previous prime is 2777324623. The next prime is 2777324647. The reversal of 2777324640 is 464237772.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2777324640² = 15427064311902259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2777324592 and 2777324601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777324647) 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, 2892567 + ... + 2893526.

It is an arithmetic number, because the mean of its divisors is an integer number (182261961).

Almost surely, 2^2777324640 is an apocalyptic number.

2777324640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2777324640 is an abundant number, since it is smaller than the sum of its proper divisors (5971249488).

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

2777324640 is a wasteful number, since it uses less digits than its factorization.

2777324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786111 (or 5786103 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The square root of 2777324640 is about 52700.3286517266. The cubic root of 2777324640 is about 1405.6446664387.

The spelling of 2777324640 in words is "two billion, seven hundred seventy-seven million, three hundred twenty-four thousand, six hundred forty".