2760490317312 has 1440 divisors, whose sum is σ = 10758631403520. Its totient is φ = 673412382720.

The previous prime is 2760490317259. The next prime is 2760490317331. The reversal of 2760490317312 is 2137130940672.

2760490317312 is a `hidden beast` number, since 2 + 7 + 60 + 490 + 31 + 73 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2092865389 + ... + 2092866707.

It is an arithmetic number, because the mean of its divisors is an integer number (7471271808).

Almost surely, 2^{2760490317312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2760490317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379315701760).

2760490317312 is an abundant number, since it is smaller than the sum of its proper divisors (7998141086208).

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

2760490317312 is a wasteful number, since it uses less digits than its factorization.

2760490317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 2760490317312 in words is "two trillion, seven hundred sixty billion, four hundred ninety million, three hundred seventeen thousand, three hundred twelve".