2640973023360 has 768 divisors, whose sum is σ = 11174740560000. Its totient is φ = 587329118208.

The previous prime is 2640973023329. The next prime is 2640973023373. The reversal of 2640973023360 is 633203790462.

2640973023360 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 9 + 7 + 302 + 336 + 0 = 666.

It is a super-4 number, since 4×2640973023360⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31286491 + ... + 31370789.

Almost surely, 2^{2640973023360} is an apocalyptic number.

2640973023360 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 2640973023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587370280000).

2640973023360 is an abundant number, since it is smaller than the sum of its proper divisors (8533767536640).

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

2640973023360 is a wasteful number, since it uses less digits than its factorization.

2640973023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84378 (or 84353 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 2640973023360 in words is "two trillion, six hundred forty billion, nine hundred seventy-three million, twenty-three thousand, three hundred sixty".