2704126464 has 320 divisors, whose sum is σ = 8854433280. Its totient is φ = 809533440.

The previous prime is 2704126421. The next prime is 2704126483. The reversal of 2704126464 is 4646214072.

2704126464 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 1 + 2 + 646 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7368009 + ... + 7368375.

It is an arithmetic number, because the mean of its divisors is an integer number (27670104).

Almost surely, 2^2704126464 is an apocalyptic number.

2704126464 is a gapful number since it is divisible by the number (24) 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 2704126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427216640).

2704126464 is an abundant number, since it is smaller than the sum of its proper divisors (6150306816).

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

2704126464 is a wasteful number, since it uses less digits than its factorization.

2704126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

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

The square root of 2704126464 is about 52001.2159857825. The cubic root of 2704126464 is about 1393.1856723068.

The spelling of 2704126464 in words is "two billion, seven hundred four million, one hundred twenty-six thousand, four hundred sixty-four".