2754007820 has 96 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 972463104.

The previous prime is 2754007777. The next prime is 2754007847. The reversal of 2754007820 is 287004572.

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, 663311 + ... + 667449.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 2^2754007820 is an apocalyptic number.

2754007820 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 2754007820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2754007820 is an abundant number, since it is smaller than the sum of its proper divisors (3756059380).

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

2754007820 is a wasteful number, since it uses less digits than its factorization.

2754007820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 2754007820 is about 52478.6415601624. The cubic root of 2754007820 is about 1401.6999452159.

The spelling of 2754007820 in words is "two billion, seven hundred fifty-four million, seven thousand, eight hundred twenty".