2677791468 has 144 divisors (see below), whose sum is σ = 7222295808. Its totient is φ = 770140800.

The previous prime is 2677791461. The next prime is 2677791469. The reversal of 2677791468 is 8641977762.

It is not an unprimeable number, because it can be changed into a prime (2677791461) 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, 6044455 + ... + 6044897.

It is an arithmetic number, because the mean of its divisors is an integer number (50154832).

Almost surely, 2^2677791468 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 2677791468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611147904).

2677791468 is an abundant number, since it is smaller than the sum of its proper divisors (4544504340).

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

2677791468 is a wasteful number, since it uses less digits than its factorization.

2677791468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The square root of 2677791468 is about 51747.3812670748. The cubic root of 2677791468 is about 1388.6482499056.

The spelling of 2677791468 in words is "two billion, six hundred seventy-seven million, seven hundred ninety-one thousand, four hundred sixty-eight".