2772506880000 has 3600 divisors, whose sum is σ = 12970075138020. Its totient is φ = 583925760000.

The previous prime is 2772506879977. The next prime is 2772506880019. The reversal of 2772506880000 is 886052772.

It can be written as a sum of positive squares in 10 ways, for example, as 293469225984 + 2479037654016 = 541728^2 + 1574496^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 299 ways as a sum of consecutive naturals, for example, 163088639992 + ... + 163088640008.

Almost surely, 2^{2772506880000} is an apocalyptic number.

2772506880000 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 2772506880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485037569010).

2772506880000 is an abundant number, since it is smaller than the sum of its proper divisors (10197568258020).

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

2772506880000 is a wasteful number, since it uses less digits than its factorization.

2772506880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2772506880000 in words is "two trillion, seven hundred seventy-two billion, five hundred six million, eight hundred eighty thousand".