2677628942884 has 96 divisors (see below), whose sum is σ = 5484033515520. Its totient is φ = 1120097918592.

The previous prime is 2677628942869. The next prime is 2677628942887. The reversal of 2677628942884 is 4882498267762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2677628942887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949849227 + ... + 949852045.

It is an arithmetic number, because the mean of its divisors is an integer number (57125349120).

Almost surely, 2^{2677628942884} 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 2677628942884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742016757760).

2677628942884 is an abundant number, since it is smaller than the sum of its proper divisors (2806404572636).

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

2677628942884 is a wasteful number, since it uses less digits than its factorization.

2677628942884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4575 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 73.

The spelling of 2677628942884 in words is "two trillion, six hundred seventy-seven billion, six hundred twenty-eight million, nine hundred forty-two thousand, eight hundred eighty-four".