2725954560 has 528 divisors, whose sum is σ = 11230267776. Its totient is φ = 621084672.

The previous prime is 2725954541. The next prime is 2725954631. The reversal of 2725954560 is 654595272.

2725954560 is a `hidden beast` number, since 2 + 7 + 2 + 595 + 4 + 56 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708964 + ... + 8709276.

Almost surely, 2^2725954560 is an apocalyptic number.

2725954560 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 2725954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615133888).

2725954560 is an abundant number, since it is smaller than the sum of its proper divisors (8504313216).

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

2725954560 is an equidigital number, since it uses as much as digits as its factorization.

2725954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2725954560 is about 52210.6747705869. The cubic root of 2725954560 is about 1396.9242954542.

The spelling of 2725954560 in words is "two billion, seven hundred twenty-five million, nine hundred fifty-four thousand, five hundred sixty".