2687661648 has 480 divisors, whose sum is σ = 9755875584. Its totient is φ = 698720256.

The previous prime is 2687661629. The next prime is 2687661649. The reversal of 2687661648 is 8461667862.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 2687661594 and 2687661603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687661649) 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, 17118786 + ... + 17118942.

Almost surely, 2^2687661648 is an apocalyptic number.

2687661648 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 2687661648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877937792).

2687661648 is an abundant number, since it is smaller than the sum of its proper divisors (7068213936).

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

2687661648 is a wasteful number, since it uses less digits than its factorization.

2687661648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2687661648 is about 51842.6624316306. The cubic root of 2687661648 is about 1390.3523161927.

The spelling of 2687661648 in words is "two billion, six hundred eighty-seven million, six hundred sixty-one thousand, six hundred forty-eight".