2680547760 has 480 divisors, whose sum is σ = 10663031808. Its totient is φ = 596090880.

The previous prime is 2680547713. The next prime is 2680547789. The reversal of 2680547760 is 677450862.

2680547760 is a `hidden beast` number, since 26 + 80 + 547 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5789289 + ... + 5789751.

Almost surely, 2^2680547760 is an apocalyptic number.

2680547760 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 2680547760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331515904).

2680547760 is an abundant number, since it is smaller than the sum of its proper divisors (7982484048).

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

2680547760 is a wasteful number, since it uses less digits than its factorization.

2680547760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2680547760 is about 51774.0066056317. The cubic root of 2680547760 is about 1389.1245388694.

The spelling of 2680547760 in words is "two billion, six hundred eighty million, five hundred forty-seven thousand, seven hundred sixty".