2778212376576 has 896 divisors, whose sum is σ = 10258976931840. Its totient is φ = 723452166144.

The previous prime is 2778212376571. The next prime is 2778212376601. The reversal of 2778212376576 is 6756732128772.

It is a happy number.

2778212376576 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 21 + 2 + 37 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2778212376571) 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, 1670601921 + ... + 1670603583.

It is an arithmetic number, because the mean of its divisors is an integer number (11449751040).

Almost surely, 2^{2778212376576} is an apocalyptic number.

2778212376576 is a gapful number since it is divisible by the number (26) 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 2778212376576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129488465920).

2778212376576 is an abundant number, since it is smaller than the sum of its proper divisors (7480764555264).

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

2778212376576 is a wasteful number, since it uses less digits than its factorization.

2778212376576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1771 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 2778212376576 in words is "two trillion, seven hundred seventy-eight billion, two hundred twelve million, three hundred seventy-six thousand, five hundred seventy-six".