2682484560 has 640 divisors, whose sum is σ = 11199283200. Its totient is φ = 577290240.

The previous prime is 2682484537. The next prime is 2682484603. The reversal of 2682484560 is 654842862.

2682484560 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 4 + 84 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27654432 + ... + 27654528.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 2^2682484560 is an apocalyptic number.

2682484560 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 2682484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599641600).

2682484560 is an abundant number, since it is smaller than the sum of its proper divisors (8516798640).

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

2682484560 is a wasteful number, since it uses less digits than its factorization.

2682484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2682484560 is about 51792.7075947956. The cubic root of 2682484560 is about 1389.4590238231.

It can be divided in two parts, 2682484 and 560, that added together give a square (2683044 = 1638²).

The spelling of 2682484560 in words is "two billion, six hundred eighty-two million, four hundred eighty-four thousand, five hundred sixty".