2677402728 has 768 divisors, whose sum is σ = 10686816000. Its totient is φ = 609638400.

The previous prime is 2677402711. The next prime is 2677402733. The reversal of 2677402728 is 8272047762.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43891818 + ... + 43891878.

It is an arithmetic number, because the mean of its divisors is an integer number (13915125).

Almost surely, 2^2677402728 is an apocalyptic number.

2677402728 is a gapful number since it is divisible by the number (28) 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 2677402728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408000).

2677402728 is an abundant number, since it is smaller than the sum of its proper divisors (8009413272).

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

2677402728 is a wasteful number, since it uses less digits than its factorization.

2677402728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2677402728 is about 51743.6249986411. The cubic root of 2677402728 is about 1388.5810490983.

The spelling of 2677402728 in words is "two billion, six hundred seventy-seven million, four hundred two thousand, seven hundred twenty-eight".