2680794546144 has 1152 divisors, whose sum is σ = 9223194968064. Its totient is φ = 671182848000.

The previous prime is 2680794546139. The next prime is 2680794546149. The reversal of 2680794546144 is 4416454970862.

It is an interprime number because it is at equal distance from previous prime (2680794546139) and next prime (2680794546149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680794546149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8732229639 + ... + 8732229945.

It is an arithmetic number, because the mean of its divisors is an integer number (8006245632).

Almost surely, 2^{2680794546144} is an apocalyptic number.

2680794546144 is a gapful number since it is divisible by the number (24) 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 2680794546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611597484032).

2680794546144 is an abundant number, since it is smaller than the sum of its proper divisors (6542400421920).

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

2680794546144 is a wasteful number, since it uses less digits than its factorization.

2680794546144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 2680794546144 in words is "two trillion, six hundred eighty billion, seven hundred ninety-four million, five hundred forty-six thousand, one hundred forty-four".