2688661248 has 576 divisors, whose sum is σ = 9757827072. Its totient is φ = 637009920.

The previous prime is 2688661219. The next prime is 2688661357. The reversal of 2688661248 is 8421668862.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2688661248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36830940 + ... + 36831012.

It is an arithmetic number, because the mean of its divisors is an integer number (16940672).

Almost surely, 2^2688661248 is an apocalyptic number.

2688661248 is a gapful number since it is divisible by the number (28) 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 2688661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878913536).

2688661248 is an abundant number, since it is smaller than the sum of its proper divisors (7069165824).

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

2688661248 is a wasteful number, since it uses less digits than its factorization.

2688661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 2688661248 is about 51852.3022439698. The cubic root of 2688661248 is about 1390.5246622807.

The spelling of 2688661248 in words is "two billion, six hundred eighty-eight million, six hundred sixty-one thousand, two hundred forty-eight".