2754000000 has 560 divisors, whose sum is σ = 10847322090. Its totient is φ = 691200000.

The previous prime is 2753999999. The next prime is 2754000023. The reversal of 2754000000 is 4572.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 1063803456 + 1690196544 = 32616^2 + 41112^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 161999992 + ... + 162000008.

Almost surely, 2^2754000000 is an apocalyptic number.

2754000000 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 2754000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423661045).

2754000000 is an abundant number, since it is smaller than the sum of its proper divisors (8093322090).

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

2754000000 is an frugal number, since it uses more digits than its factorization.

2754000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2754000000 is about 52478.5670536077. The cubic root of 2754000000 is about 1401.6986185066.

Adding to 2754000000 its reverse (4572), we get a palindrome (2754004572).

The spelling of 2754000000 in words is "two billion, seven hundred fifty-four million", and thus it is an aban number.