2754584880 has 160 divisors (see below), whose sum is σ = 9151985664. Its totient is φ = 683578368.

The previous prime is 2754584873. The next prime is 2754584891. The reversal of 2754584880 is 884854572.

It is a super-2 number, since 2×2754584880² = 15175475722249228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197497 + ... + 210983.

Almost surely, 2^2754584880 is an apocalyptic number.

2754584880 is a gapful number since it is divisible by the number (20) 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 2754584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575992832).

2754584880 is an abundant number, since it is smaller than the sum of its proper divisors (6397400784).

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

2754584880 is a wasteful number, since it uses less digits than its factorization.

2754584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 51.

The square root of 2754584880 is about 52484.1393184646. The cubic root of 2754584880 is about 1401.7978399370.

The spelling of 2754584880 in words is "two billion, seven hundred fifty-four million, five hundred eighty-four thousand, eight hundred eighty".