2704415040 has 196 divisors, whose sum is σ = 9656248404. Its totient is φ = 721115136.

The previous prime is 2704415033. The next prime is 2704415041. The reversal of 2704415040 is 405144072.

It can be written as a sum of positive squares in 2 ways, for example, as 1903751424 + 800663616 = 43632^2 + 28296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2704414995 and 2704415013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704415041) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 227484 + ... + 239076.

Almost surely, 2^2704415040 is an apocalyptic number.

2704415040 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 2704415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828124202).

2704415040 is an abundant number, since it is smaller than the sum of its proper divisors (6951833364).

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

2704415040 is an equidigital number, since it uses as much as digits as its factorization.

2704415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11628 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2704415040 is about 52003.9906161056. The cubic root of 2704415040 is about 1393.2352293638.

The spelling of 2704415040 in words is "two billion, seven hundred four million, four hundred fifteen thousand, forty".