2754415680 has 112 divisors (see below), whose sum is σ = 8823009024. Its totient is φ = 727982080.

The previous prime is 2754415637. The next prime is 2754415709. The reversal of 2754415680 is 865144572.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95785 + ... + 121175.

Almost surely, 2^2754415680 is an apocalyptic number.

2754415680 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 2754415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411504512).

2754415680 is an abundant number, since it is smaller than the sum of its proper divisors (6068593344).

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

2754415680 is a wasteful number, since it uses less digits than its factorization.

2754415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25524 (or 25514 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 2754415680 is about 52482.5273781665. The cubic root of 2754415680 is about 1401.7691376024.

The spelling of 2754415680 in words is "two billion, seven hundred fifty-four million, four hundred fifteen thousand, six hundred eighty".