2721436560 has 120 divisors (see below), whose sum is σ = 9454718520. Its totient is φ = 700686336.

The previous prime is 2721436507. The next prime is 2721436561. The reversal of 2721436560 is 656341272.

2721436560 is a `hidden beast` number, since 27 + 214 + 365 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1171282176 + 1550154384 = 34224^2 + 39372^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2721436560³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2721436561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44289 + ... + 86048.

It is an arithmetic number, because the mean of its divisors is an integer number (78789321).

Almost surely, 2^2721436560 is an apocalyptic number.

2721436560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2721436560 is an abundant number, since it is smaller than the sum of its proper divisors (6733281960).

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

2721436560 is a wasteful number, since it uses less digits than its factorization.

2721436560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130385 (or 130376 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2721436560 is about 52167.3898139441. The cubic root of 2721436560 is about 1396.1521140856.

The spelling of 2721436560 in words is "two billion, seven hundred twenty-one million, four hundred thirty-six thousand, five hundred sixty".