2761416912000 has 256 divisors, whose sum is σ = 9377374406400. Its totient is φ = 718416896000.

The previous prime is 2761416911977. The next prime is 2761416912013. The reversal of 2761416912000 is 2196141672.

It is a self number, because there is not a number n which added to its sum of digits gives 2761416912000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266421 + ... + 2669579.

It is an arithmetic number, because the mean of its divisors is an integer number (36630368775).

Almost surely, 2^{2761416912000} is an apocalyptic number.

2761416912000 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 2761416912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688687203200).

2761416912000 is an abundant number, since it is smaller than the sum of its proper divisors (6615957494400).

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

2761416912000 is a wasteful number, since it uses less digits than its factorization.

2761416912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403232 (or 1403210 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 2761416912000 in words is "two trillion, seven hundred sixty-one billion, four hundred sixteen million, nine hundred twelve thousand".