2772112343000 has 256 divisors, whose sum is σ = 8709476106240. Its totient is φ = 797570496000.

The previous prime is 2772112342973. The next prime is 2772112343051. The reversal of 2772112343000 is 3432112772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383672 + ... + 2385671.

It is an arithmetic number, because the mean of its divisors is an integer number (34021391040).

Almost surely, 2^{2772112343000} is an apocalyptic number.

2772112343000 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 2772112343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354738053120).

2772112343000 is an abundant number, since it is smaller than the sum of its proper divisors (5937363763240).

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

2772112343000 is a wasteful number, since it uses less digits than its factorization.

2772112343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769395 (or 2769381 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

Adding to 2772112343000 its reverse (3432112772), we get a palindrome (2775544455772).

The spelling of 2772112343000 in words is "two trillion, seven hundred seventy-two billion, one hundred twelve million, three hundred forty-three thousand".