2680755840 has 384 divisors, whose sum is σ = 11204593920. Its totient is φ = 576552960.

The previous prime is 2680755821. The next prime is 2680755881. The reversal of 2680755840 is 485570862.

2680755840 is a `hidden beast` number, since 2 + 68 + 0 + 7 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683485 + ... + 687395.

It is an arithmetic number, because the mean of its divisors is an integer number (29178630).

Almost surely, 2^2680755840 is an apocalyptic number.

2680755840 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 2680755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602296960).

2680755840 is an abundant number, since it is smaller than the sum of its proper divisors (8523838080).

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

2680755840 is a wasteful number, since it uses less digits than its factorization.

2680755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2680755840 is about 51776.0160692188. The cubic root of 2680755840 is about 1389.1604819652.

The spelling of 2680755840 in words is "two billion, six hundred eighty million, seven hundred fifty-five thousand, eight hundred forty".