2648819712000 has 1440 divisors, whose sum is σ = 11095147365120. Its totient is φ = 549322752000.

The previous prime is 2648819711983. The next prime is 2648819712013. The reversal of 2648819712000 is 2179188462.

It is a happy number.

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

It is a congruent number.

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, 5203967746 + ... + 5203968254.

It is an arithmetic number, because the mean of its divisors is an integer number (7704963448).

Almost surely, 2^{2648819712000} is an apocalyptic number.

2648819712000 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 2648819712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547573682560).

2648819712000 is an abundant number, since it is smaller than the sum of its proper divisors (8446327653120).

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

2648819712000 is an equidigital number, since it uses as much as digits as its factorization.

2648819712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 2648819712000 in words is "two trillion, six hundred forty-eight billion, eight hundred nineteen million, seven hundred twelve thousand".