2704648320 has 896 divisors, whose sum is σ = 11558868480. Its totient is φ = 597196800.

The previous prime is 2704648319. The next prime is 2704648327. The reversal of 2704648320 is 238464072.

2704648320 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 648 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2704648327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 87246705 + ... + 87246735.

Almost surely, 2^2704648320 is an apocalyptic number.

2704648320 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 2704648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779434240).

2704648320 is an abundant number, since it is smaller than the sum of its proper divisors (8854220160).

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

2704648320 is a wasteful number, since it uses less digits than its factorization.

2704648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2704648320 is about 52006.2334725367. The cubic root of 2704648320 is about 1393.2752878810.

It can be divided in two parts, 270464 and 8320, that added together give a square (278784 = 528²).

The spelling of 2704648320 in words is "two billion, seven hundred four million, six hundred forty-eight thousand, three hundred twenty".