2771401360000 has 640 divisors, whose sum is σ = 8538491808000. Its totient is φ = 872239104000.

The previous prime is 2771401359989. The next prime is 2771401360037. The reversal of 2771401360000 is 631041772.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1448719044 + ... + 1448720956.

It is an arithmetic number, because the mean of its divisors is an integer number (13341393450).

Almost surely, 2^{2771401360000} is an apocalyptic number.

2771401360000 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 2771401360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269245904000).

2771401360000 is an abundant number, since it is smaller than the sum of its proper divisors (5767090448000).

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

2771401360000 is a wasteful number, since it uses less digits than its factorization.

2771401360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 2771401360000 in words is "two trillion, seven hundred seventy-one billion, four hundred one million, three hundred sixty thousand".