2738781440 has 72 divisors (see below), whose sum is σ = 6737657640. Its totient is φ = 1065885696.

The previous prime is 2738781421. The next prime is 2738781449. The reversal of 2738781440 is 441878372.

It can be written as a sum of positive squares in 4 ways, for example, as 768841984 + 1969939456 = 27728^2 + 44384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2738781391 and 2738781400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738781449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18446 + ... + 76274.

Almost surely, 2^2738781440 is an apocalyptic number.

2738781440 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 2738781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368828820).

2738781440 is an abundant number, since it is smaller than the sum of its proper divisors (3998876200).

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

2738781440 is an equidigital number, since it uses as much as digits as its factorization.

2738781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57887 (or 57873 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The square root of 2738781440 is about 52333.3683227059. The cubic root of 2738781440 is about 1399.1119265762. Note that the first 3 decimals are identical.

The spelling of 2738781440 in words is "two billion, seven hundred thirty-eight million, seven hundred eighty-one thousand, four hundred forty".