2770051590768 has 320 divisors, whose sum is σ = 9295633612800. Its totient is φ = 689774054400.

The previous prime is 2770051590767. The next prime is 2770051590769. The reversal of 2770051590768 is 8670951500772.

It is a happy number.

2770051590768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2770051590767) and next prime (2770051590769).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770051590767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12146658 + ... + 12372606.

It is an arithmetic number, because the mean of its divisors is an integer number (29048855040).

Almost surely, 2^{2770051590768} is an apocalyptic number.

2770051590768 is a gapful number since it is divisible by the number (28) 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 2770051590768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647816806400).

2770051590768 is an abundant number, since it is smaller than the sum of its proper divisors (6525582022032).

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

2770051590768 is a wasteful number, since it uses less digits than its factorization.

2770051590768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226116 (or 226110 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 57.

The spelling of 2770051590768 in words is "two trillion, seven hundred seventy billion, fifty-one million, five hundred ninety thousand, seven hundred sixty-eight".