2779806949920 has 1920 divisors, whose sum is σ = 13443898406400. Its totient is φ = 533067816960.

The previous prime is 2779806949919. The next prime is 2779806949949. The reversal of 2779806949920 is 299496089772.

2779806949920 is a `hidden beast` number, since 2 + 7 + 79 + 8 + 0 + 69 + 499 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 635672854 + ... + 635677226.

It is an arithmetic number, because the mean of its divisors is an integer number (7002030420).

Almost surely, 2^{2779806949920} is an apocalyptic number.

2779806949920 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 2779806949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721949203200).

2779806949920 is an abundant number, since it is smaller than the sum of its proper divisors (10664091456480).

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

2779806949920 is a wasteful number, since it uses less digits than its factorization.

2779806949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 2779806949920 in words is "two trillion, seven hundred seventy-nine billion, eight hundred six million, nine hundred forty-nine thousand, nine hundred twenty".