2765333480 has 96 divisors (see below), whose sum is σ = 7700054400. Its totient is φ = 875167488.

The previous prime is 2765333479. The next prime is 2765333503. The reversal of 2765333480 is 843335672.

2765333480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18101 + ... + 76539.

It is an arithmetic number, because the mean of its divisors is an integer number (80208900).

Almost surely, 2^2765333480 is an apocalyptic number.

2765333480 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 2765333480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850027200).

2765333480 is an abundant number, since it is smaller than the sum of its proper divisors (4934720920).

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

2765333480 is a wasteful number, since it uses less digits than its factorization.

2765333480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58483 (or 58466 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The square root of 2765333480 is about 52586.4381756361. The cubic root of 2765333480 is about 1403.6187808158.

The spelling of 2765333480 in words is "two billion, seven hundred sixty-five million, three hundred thirty-three thousand, four hundred eighty".