2677922890368 has 1024 divisors, whose sum is σ = 8922388930560. Its totient is φ = 701431808000.

The previous prime is 2677922890273. The next prime is 2677922890369. The reversal of 2677922890368 is 8630982297762.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (2677922890369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4807760746 + ... + 4807761302.

It is an arithmetic number, because the mean of its divisors is an integer number (8713270440).

Almost surely, 2^{2677922890368} 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 2677922890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461194465280).

2677922890368 is an abundant number, since it is smaller than the sum of its proper divisors (6244466040192).

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

2677922890368 is a wasteful number, since it uses less digits than its factorization.

2677922890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 2677922890368 in words is "two trillion, six hundred seventy-seven billion, nine hundred twenty-two million, eight hundred ninety thousand, three hundred sixty-eight".