2677405046016 has 72 divisors (see below), whose sum is σ = 7127132846400. Its totient is φ = 892301664256.

The previous prime is 2677405046011. The next prime is 2677405046053. The reversal of 2677405046016 is 6106405047762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677405046011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3823576 + ... + 4469288.

It is an arithmetic number, because the mean of its divisors is an integer number (98987956200).

Almost surely, 2^{2677405046016} is an apocalyptic number.

It is an amenable number.

2677405046016 is an abundant number, since it is smaller than the sum of its proper divisors (4449727800384).

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

2677405046016 is an equidigital number, since it uses as much as digits as its factorization.

2677405046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651131 (or 651117 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 2677405046016 in words is "two trillion, six hundred seventy-seven billion, four hundred five million, forty-six thousand, sixteen".