2755689984 has 320 divisors, whose sum is σ = 8697300480. Its totient is φ = 870414336.

The previous prime is 2755689983. The next prime is 2755690009. The reversal of 2755689984 is 4899865572.

Its product of digits (43545600) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755689983) 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, 25754059 + ... + 25754165.

It is an arithmetic number, because the mean of its divisors is an integer number (27179064).

Almost surely, 2^2755689984 is an apocalyptic number.

2755689984 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 2755689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348650240).

2755689984 is an abundant number, since it is smaller than the sum of its proper divisors (5941610496).

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

2755689984 is an frugal number, since it uses more digits than its factorization.

2755689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 2755689984 is about 52494.6662433432. Note that the first 3 decimals coincide. The cubic root of 2755689984 is about 1401.9852759573.

The spelling of 2755689984 in words is "two billion, seven hundred fifty-five million, six hundred eighty-nine thousand, nine hundred eighty-four".