2760480000 has 540 divisors, whose sum is σ = 10459376928. Its totient is φ = 725760000.

The previous prime is 2760479963. The next prime is 2760480013. The reversal of 2760480000 is 840672.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879965 + ... + 38880035.

Almost surely, 2^2760480000 is an apocalyptic number.

2760480000 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 2760480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229688464).

2760480000 is an abundant number, since it is smaller than the sum of its proper divisors (7698896928).

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

2760480000 is an frugal number, since it uses more digits than its factorization.

2760480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2760480000 is about 52540.2702695751. The cubic root of 2760480000 is about 1402.7971288453.

The spelling of 2760480000 in words is "two billion, seven hundred sixty million, four hundred eighty thousand".