2688261480 has 128 divisors (see below), whose sum is σ = 9029750400. Its totient is φ = 711360000.

The previous prime is 2688261437. The next prime is 2688261481. The reversal of 2688261480 is 841628862.

2688261480 is a `hidden beast` number, since 26 + 8 + 8 + 2 + 614 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2688261481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131980 + ... + 150980.

It is an arithmetic number, because the mean of its divisors is an integer number (70544925).

Almost surely, 2^2688261480 is an apocalyptic number.

2688261480 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 2688261480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514875200).

2688261480 is an abundant number, since it is smaller than the sum of its proper divisors (6341488920).

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

2688261480 is a wasteful number, since it uses less digits than its factorization.

2688261480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19152 (or 19142 counting only the distinct ones).

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

The square root of 2688261480 is about 51848.4472284368. The cubic root of 2688261480 is about 1390.4557413860.

The spelling of 2688261480 in words is "two billion, six hundred eighty-eight million, two hundred sixty-one thousand, four hundred eighty".