2732438560 has 96 divisors (see below), whose sum is σ = 6858840240. Its totient is φ = 1025114112.

The previous prime is 2732438531. The next prime is 2732438561. The reversal of 2732438560 is 658342372.

It can be written as a sum of positive squares in 8 ways, for example, as 1315367824 + 1417070736 = 36268^2 + 37644^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2732438561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860656 + ... + 863824.

Almost surely, 2^2732438560 is an apocalyptic number.

2732438560 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 2732438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429420120).

2732438560 is an abundant number, since it is smaller than the sum of its proper divisors (4126401680).

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

2732438560 is a wasteful number, since it uses less digits than its factorization.

2732438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2732438560 is about 52272.7324711460. The cubic root of 2732438560 is about 1398.0310007500.

The spelling of 2732438560 in words is "two billion, seven hundred thirty-two million, four hundred thirty-eight thousand, five hundred sixty".