2664171456 has 112 divisors (see below), whose sum is σ = 7523536896. Its totient is φ = 829108224.

The previous prime is 2664171437. The next prime is 2664171551. The reversal of 2664171456 is 6541714662.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411315 + ... + 417741.

Almost surely, 2^2664171456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761768448).

2664171456 is an abundant number, since it is smaller than the sum of its proper divisors (4859365440).

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

2664171456 is a wasteful number, since it uses less digits than its factorization.

2664171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6576 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2664171456 is about 51615.6125217942. The cubic root of 2664171456 is about 1386.2898931154.

The spelling of 2664171456 in words is "two billion, six hundred sixty-four million, one hundred seventy-one thousand, four hundred fifty-six".