2709461664 has 432 divisors, whose sum is σ = 10028255328. Its totient is φ = 713276928.

The previous prime is 2709461611. The next prime is 2709461719. The reversal of 2709461664 is 4661649072.

2709461664 is a `hidden beast` number, since 27 + 0 + 9 + 4 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×2709461664³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953039 + ... + 4953585.

It is an arithmetic number, because the mean of its divisors is an integer number (23213554).

Almost surely, 2^2709461664 is an apocalyptic number.

2709461664 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 2709461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014127664).

2709461664 is an abundant number, since it is smaller than the sum of its proper divisors (7318793664).

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

2709461664 is a wasteful number, since it uses less digits than its factorization.

2709461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2709461664 is about 52052.4895081878. The cubic root of 2709461664 is about 1394.1013150353.

The spelling of 2709461664 in words is "two billion, seven hundred nine million, four hundred sixty-one thousand, six hundred sixty-four".