2770936826112 has 576 divisors, whose sum is σ = 10432935744000. Its totient is φ = 705592000512.

The previous prime is 2770936826069. The next prime is 2770936826159. The reversal of 2770936826112 is 2116286390772.

It is a happy number.

2770936826112 is a `hidden beast` number, since 2 + 7 + 7 + 0 + 9 + 368 + 261 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 18164814 + ... + 18316722.

Almost surely, 2^{2770936826112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2770936826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216467872000).

2770936826112 is an abundant number, since it is smaller than the sum of its proper divisors (7661998917888).

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

2770936826112 is a wasteful number, since it uses less digits than its factorization.

2770936826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151983 (or 151963 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2770936826112 in words is "two trillion, seven hundred seventy billion, nine hundred thirty-six million, eight hundred twenty-six thousand, one hundred twelve".