2764536480 has 480 divisors, whose sum is σ = 10464854400. Its totient is φ = 685283328.

The previous prime is 2764536449. The next prime is 2764536491. The reversal of 2764536480 is 846354672.

2764536480 is a `hidden beast` number, since 2 + 76 + 4 + 536 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25362666 + ... + 25362774.

It is an arithmetic number, because the mean of its divisors is an integer number (21801780).

Almost surely, 2^2764536480 is an apocalyptic number.

2764536480 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 2764536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232427200).

2764536480 is an abundant number, since it is smaller than the sum of its proper divisors (7700317920).

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

2764536480 is a wasteful number, since it uses less digits than its factorization.

2764536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2764536480 is about 52578.8596300833. The cubic root of 2764536480 is about 1403.4839216549.

The spelling of 2764536480 in words is "two billion, seven hundred sixty-four million, five hundred thirty-six thousand, four hundred eighty".