2732450760 has 320 divisors, whose sum is σ = 10236164400. Its totient is φ = 649119744.

The previous prime is 2732450759. The next prime is 2732450771. The reversal of 2732450760 is 670542372.

It is a happy number.

2732450760 is a `hidden beast` number, since 2 + 73 + 24 + 507 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1105296516 + 1627154244 = 33246^2 + 40338^2 .

It is a super-3 number, since 3×2732450760³ (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1220362 + ... + 1222598.

Almost surely, 2^2732450760 is an apocalyptic number.

2732450760 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 2732450760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118082200).

2732450760 is an abundant number, since it is smaller than the sum of its proper divisors (7503713640).

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

2732450760 is a wasteful number, since it uses less digits than its factorization.

2732450760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2732450760 is about 52272.8491666563. The cubic root of 2732450760 is about 1398.0330814254.

The spelling of 2732450760 in words is "two billion, seven hundred thirty-two million, four hundred fifty thousand, seven hundred sixty".