2777162241960 has 192 divisors, whose sum is σ = 9381269664000. Its totient is φ = 711650096640.

The previous prime is 2777162241941. The next prime is 2777162241967. The reversal of 2777162241960 is 691422617772.

2777162241960 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 1 + 622 + 4 + 1 + 9 + 6 + 0 = 666.

2777162241960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2777162241897 and 2777162241906.

It is not an unprimeable number, because it can be changed into a prime (2777162241967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1572481 + ... + 2833199.

It is an arithmetic number, because the mean of its divisors is an integer number (48860779500).

Almost surely, 2^{2777162241960} is an apocalyptic number.

2777162241960 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 2777162241960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690634832000).

2777162241960 is an abundant number, since it is smaller than the sum of its proper divisors (6604107422040).

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

2777162241960 is a wasteful number, since it uses less digits than its factorization.

2777162241960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260976 (or 1260969 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 2777162241960 in words is "two trillion, seven hundred seventy-seven billion, one hundred sixty-two million, two hundred forty-one thousand, nine hundred sixty".