2677713984 has 224 divisors, whose sum is σ = 8646566400. Its totient is φ = 805870080.

The previous prime is 2677713967. The next prime is 2677713989. The reversal of 2677713984 is 4893177762.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2677713984.

It is not an unprimeable number, because it can be changed into a prime (2677713989) 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, 3402039 + ... + 3402825.

Almost surely, 2^2677713984 is an apocalyptic number.

2677713984 is a gapful number since it is divisible by the number (24) 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 2677713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323283200).

2677713984 is an abundant number, since it is smaller than the sum of its proper divisors (5968852416).

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

2677713984 is a wasteful number, since it uses less digits than its factorization.

2677713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 2677713984 is about 51746.6325860920. The cubic root of 2677713984 is about 1388.6348559004.

The spelling of 2677713984 in words is "two billion, six hundred seventy-seven million, seven hundred thirteen thousand, nine hundred eighty-four".