2664519514272 has 576 divisors, whose sum is σ = 10336881381120. Its totient is φ = 651369185280.

The previous prime is 2664519514253. The next prime is 2664519514277. The reversal of 2664519514272 is 2724159154662.

2664519514272 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 51 + 9 + 514 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2664519514277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12333648 + ... + 12547824.

It is an arithmetic number, because the mean of its divisors is an integer number (17945974620).

Almost surely, 2^{2664519514272} is an apocalyptic number.

2664519514272 is a gapful number since it is divisible by the number (22) 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 2664519514272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168440690560).

2664519514272 is an abundant number, since it is smaller than the sum of its proper divisors (7672361866848).

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

2664519514272 is a wasteful number, since it uses less digits than its factorization.

2664519514272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214242 (or 214217 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 2664519514272 in words is "two trillion, six hundred sixty-four billion, five hundred nineteen million, five hundred fourteen thousand, two hundred seventy-two".