2682488160 has 576 divisors, whose sum is σ = 10755763200. Its totient is φ = 602173440.

The previous prime is 2682488141. The next prime is 2682488161. The reversal of 2682488160 is 618842862.

2682488160 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 488 + 160 = 666.

2682488160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682488161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13479741 + ... + 13479939.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 2^2682488160 is an apocalyptic number.

2682488160 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 2682488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

2682488160 is an abundant number, since it is smaller than the sum of its proper divisors (8073275040).

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

2682488160 is a wasteful number, since it uses less digits than its factorization.

2682488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2682488160 is about 51792.7423487114. The cubic root of 2682488160 is about 1389.4596453924.

The spelling of 2682488160 in words is "two billion, six hundred eighty-two million, four hundred eighty-eight thousand, one hundred sixty".