2746433280 has 144 divisors (see below), whose sum is σ = 9233320320. Its totient is φ = 693817344.

The previous prime is 2746433279. The next prime is 2746433281. The reversal of 2746433280 is 823346472.

It is an interprime number because it is at equal distance from previous prime (2746433279) and next prime (2746433281).

It is a super-2 number, since 2×2746433280² = 15085791522983116800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746433281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54139 + ... + 91781.

It is an arithmetic number, because the mean of its divisors is an integer number (64120280).

Almost surely, 2^2746433280 is an apocalyptic number.

2746433280 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 2746433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616660160).

2746433280 is an abundant number, since it is smaller than the sum of its proper divisors (6486887040).

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

2746433280 is a wasteful number, since it uses less digits than its factorization.

2746433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37686 (or 37672 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2746433280 is about 52406.4240337003. The cubic root of 2746433280 is about 1400.4137008683.

The spelling of 2746433280 in words is "two billion, seven hundred forty-six million, four hundred thirty-three thousand, two hundred eighty".