2760215740416 has 720 divisors, whose sum is σ = 8573835239424. Its totient is φ = 886908911616.

The previous prime is 2760215740397. The next prime is 2760215740421. The reversal of 2760215740416 is 6140475120672.

2760215740416 is a `hidden beast` number, since 2 + 7 + 60 + 2 + 1 + 574 + 0 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21733982145 + ... + 21733982271.

Almost surely, 2^{2760215740416} 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 2760215740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286917619712).

2760215740416 is an abundant number, since it is smaller than the sum of its proper divisors (5813619499008).

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

2760215740416 is an equidigital number, since it uses as much as digits as its factorization.

2760215740416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2760215740416 in words is "two trillion, seven hundred sixty billion, two hundred fifteen million, seven hundred forty thousand, four hundred sixteen".