2760669648 has 160 divisors (see below), whose sum is σ = 8668195200. Its totient is φ = 834278400.

The previous prime is 2760669647. The next prime is 2760669679. The reversal of 2760669648 is 8469660672.

2760669648 is a `hidden beast` number, since 27 + 606 + 6 + 9 + 6 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2760669594 and 2760669603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760669647) 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, 2703378 + ... + 2704398.

It is an arithmetic number, because the mean of its divisors is an integer number (54176220).

Almost surely, 2^2760669648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2760669648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334097600).

2760669648 is an abundant number, since it is smaller than the sum of its proper divisors (5907525552).

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

2760669648 is a wasteful number, since it uses less digits than its factorization.

2760669648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 2760669648 is about 52542.0750256402. The cubic root of 2760669648 is about 1402.8292526762.

The spelling of 2760669648 in words is "two billion, seven hundred sixty million, six hundred sixty-nine thousand, six hundred forty-eight".