2664789995520 has 260 divisors, whose sum is σ = 9552605329080. Its totient is φ = 710610223104.

The previous prime is 2664789995519. The next prime is 2664789995561. The reversal of 2664789995520 is 255999874662.

2664789995520 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 7 + 8 + 9 + 9 + 95 + 520 = 666.

It is a super-2 number, since 2×2664789995520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 855691 + ... + 2462069.

Almost surely, 2^{2664789995520} is an apocalyptic number.

2664789995520 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 2664789995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776302664540).

2664789995520 is an abundant number, since it is smaller than the sum of its proper divisors (6887815333560).

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

2664789995520 is an equidigital number, since it uses as much as digits as its factorization.

2664789995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606420 (or 1606389 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 2664789995520 in words is "two trillion, six hundred sixty-four billion, seven hundred eighty-nine million, nine hundred ninety-five thousand, five hundred twenty".