2771952640640 has 64 divisors (see below), whose sum is σ = 6629313132000. Its totient is φ = 1108343706624.

The previous prime is 2771952640637. The next prime is 2771952640643. The reversal of 2771952640640 is 460462591772.

It is an interprime number because it is at equal distance from previous prime (2771952640637) and next prime (2771952640643).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2771952640643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 772031 + ... + 2477889.

Almost surely, 2^{2771952640640} is an apocalyptic number.

2771952640640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2771952640640 is an abundant number, since it is smaller than the sum of its proper divisors (3857360491360).

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

2771952640640 is a wasteful number, since it uses less digits than its factorization.

2771952640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708417 (or 1708405 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 2771952640640 in words is "two trillion, seven hundred seventy-one billion, nine hundred fifty-two million, six hundred forty thousand, six hundred forty".