2664284160 has 240 divisors, whose sum is σ = 8785750176. Its totient is φ = 688914432.

The previous prime is 2664284141. The next prime is 2664284167. The reversal of 2664284160 is 614824662.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664284167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9092974 + ... + 9093266.

Almost surely, 2^2664284160 is an apocalyptic number.

2664284160 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 2664284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392875088).

2664284160 is an abundant number, since it is smaller than the sum of its proper divisors (6121466016).

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

2664284160 is an equidigital number, since it uses as much as digits as its factorization.

2664284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2664284160 is about 51616.7042729386. The cubic root of 2664284160 is about 1386.3094411833.

The spelling of 2664284160 in words is "two billion, six hundred sixty-four million, two hundred eighty-four thousand, one hundred sixty".