2673147586560 has 1152 divisors, whose sum is σ = 10433585635200. Its totient is φ = 577366917120.

The previous prime is 2673147586547. The next prime is 2673147586573. The reversal of 2673147586560 is 656857413762.

It is an interprime number because it is at equal distance from previous prime (2673147586547) and next prime (2673147586573).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2673147586494 and 2673147586503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2073814396 + ... + 2073815684.

It is an arithmetic number, because the mean of its divisors is an integer number (9056931975).

Almost surely, 2^{2673147586560} is an apocalyptic number.

2673147586560 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 2673147586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216792817600).

2673147586560 is an abundant number, since it is smaller than the sum of its proper divisors (7760438048640).

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

2673147586560 is a wasteful number, since it uses less digits than its factorization.

2673147586560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 2673147586560 in words is "two trillion, six hundred seventy-three billion, one hundred forty-seven million, five hundred eighty-six thousand, five hundred sixty".