2671824288000 has 1152 divisors, whose sum is σ = 10645261885440. Its totient is φ = 581038080000.

The previous prime is 2671824287999. The next prime is 2671824288041. The reversal of 2671824288000 is 8824281762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1383647035 + ... + 1383648965.

It is an arithmetic number, because the mean of its divisors is an integer number (9240678720).

Almost surely, 2^{2671824288000} is an apocalyptic number.

2671824288000 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 2671824288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322630942720).

2671824288000 is an abundant number, since it is smaller than the sum of its proper divisors (7973437597440).

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

2671824288000 is a wasteful number, since it uses less digits than its factorization.

2671824288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 2671824288000 in words is "two trillion, six hundred seventy-one billion, eight hundred twenty-four million, two hundred eighty-eight thousand".