2777356340 has 96 divisors (see below), whose sum is σ = 6595706880. Its totient is φ = 973238400.

The previous prime is 2777356313. The next prime is 2777356363. The reversal of 2777356340 is 436537772.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2777356291 and 2777356300.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1929341 + ... + 1930779.

It is an arithmetic number, because the mean of its divisors is an integer number (68705280).

Almost surely, 2^2777356340 is an apocalyptic number.

2777356340 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 2777356340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297853440).

2777356340 is an abundant number, since it is smaller than the sum of its proper divisors (3818350540).

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

2777356340 is a wasteful number, since it uses less digits than its factorization.

2777356340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 44.

The square root of 2777356340 is about 52700.6294080061. The cubic root of 2777356340 is about 1405.6500143631.

The spelling of 2777356340 in words is "two billion, seven hundred seventy-seven million, three hundred fifty-six thousand, three hundred forty".