2664579456 has 1024 divisors, whose sum is σ = 11280384000. Its totient is φ = 597196800.

The previous prime is 2664579433. The next prime is 2664579521. The reversal of 2664579456 is 6549754662.

2664579456 is a `hidden beast` number, since 2 + 6 + 64 + 579 + 4 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10886400) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85954161 + ... + 85954191.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2^2664579456 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 2664579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640192000).

2664579456 is an abundant number, since it is smaller than the sum of its proper divisors (8615804544).

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

2664579456 is a wasteful number, since it uses less digits than its factorization.

2664579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 2664579456 is about 51619.5646630229. The cubic root of 2664579456 is about 1386.3606565048.

The spelling of 2664579456 in words is "two billion, six hundred sixty-four million, five hundred seventy-nine thousand, four hundred fifty-six".