2732408448 has 384 divisors, whose sum is σ = 9446277120. Its totient is φ = 684288000.

The previous prime is 2732408447. The next prime is 2732408461. The reversal of 2732408448 is 8448042372.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732408447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10082553 + ... + 10082823.

It is an arithmetic number, because the mean of its divisors is an integer number (24599680).

Almost surely, 2^2732408448 is an apocalyptic number.

2732408448 is a gapful number since it is divisible by the number (28) 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 2732408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723138560).

2732408448 is an abundant number, since it is smaller than the sum of its proper divisors (6713868672).

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

2732408448 is a wasteful number, since it uses less digits than its factorization.

2732408448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 2732408448 is about 52272.4444425550. Note that the first 5 decimals coincide. The cubic root of 2732408448 is about 1398.0258652074.

The spelling of 2732408448 in words is "two billion, seven hundred thirty-two million, four hundred eight thousand, four hundred forty-eight".