2763240480 has 1152 divisors, whose sum is σ = 13314502656. Its totient is φ = 522547200.

The previous prime is 2763240479. The next prime is 2763240523. The reversal of 2763240480 is 840423672.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 38918845 + ... + 38918915.

It is an arithmetic number, because the mean of its divisors is an integer number (11557728).

Almost surely, 2^2763240480 is an apocalyptic number.

2763240480 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 2763240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657251328).

2763240480 is an abundant number, since it is smaller than the sum of its proper divisors (10551262176).

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

2763240480 is a wasteful number, since it uses less digits than its factorization.

2763240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2763240480 is about 52566.5338404578. The cubic root of 2763240480 is about 1403.2645721084.

The spelling of 2763240480 in words is "two billion, seven hundred sixty-three million, two hundred forty thousand, four hundred eighty".