2790376207968 has 96 divisors (see below), whose sum is σ = 7427253216096. Its totient is φ = 917115015168.

The previous prime is 2790376207943. The next prime is 2790376208021. The reversal of 2790376207968 is 8697026730972.

2790376207968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2790376207899 and 2790376207908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24590530 + ... + 24703742.

It is an arithmetic number, because the mean of its divisors is an integer number (77367221001).

Almost surely, 2^{2790376207968} 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 2790376207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713626608048).

2790376207968 is an abundant number, since it is smaller than the sum of its proper divisors (4636877008128).

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

2790376207968 is a wasteful number, since it uses less digits than its factorization.

2790376207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116816 (or 116808 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 66.

The spelling of 2790376207968 in words is "two trillion, seven hundred ninety billion, three hundred seventy-six million, two hundred seven thousand, nine hundred sixty-eight".