2712558240 has 384 divisors, whose sum is σ = 10923171840. Its totient is φ = 615859200.

The previous prime is 2712558229. The next prime is 2712558257. The reversal of 2712558240 is 428552172.

It is a happy number.

2712558240 is a `hidden beast` number, since 2 + 71 + 2 + 5 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2712558195 and 2712558204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8194875 + ... + 8195205.

It is an arithmetic number, because the mean of its divisors is an integer number (28445760).

Almost surely, 2^2712558240 is an apocalyptic number.

2712558240 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 2712558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461585920).

2712558240 is an abundant number, since it is smaller than the sum of its proper divisors (8210613600).

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

2712558240 is a wasteful number, since it uses less digits than its factorization.

2712558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2712558240 is about 52082.2257588901. The cubic root of 2712558240 is about 1394.6322073524.

The spelling of 2712558240 in words is "two billion, seven hundred twelve million, five hundred fifty-eight thousand, two hundred forty".