2777272081920 has 1920 divisors, whose sum is σ = 11930150707200. Its totient is φ = 610223652864.

The previous prime is 2777272081897. The next prime is 2777272081931. The reversal of 2777272081920 is 291802727772.

2777272081920 is a `hidden beast` number, since 277 + 7 + 272 + 0 + 81 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11620385161 + ... + 11620385399.

It is an arithmetic number, because the mean of its divisors is an integer number (6213620160).

Almost surely, 2^{2777272081920} is an apocalyptic number.

2777272081920 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 2777272081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965075353600).

2777272081920 is an abundant number, since it is smaller than the sum of its proper divisors (9152878625280).

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

2777272081920 is a wasteful number, since it uses less digits than its factorization.

2777272081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 2777272081920 in words is "two trillion, seven hundred seventy-seven billion, two hundred seventy-two million, eighty-one thousand, nine hundred twenty".