2765771312640 has 320 divisors, whose sum is σ = 10430915235840. Its totient is φ = 611783147520.

The previous prime is 2765771312593. The next prime is 2765771312687. The reversal of 2765771312640 is 462131775672.

It is an interprime number because it is at equal distance from previous prime (2765771312593) and next prime (2765771312687).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 836776 + ... + 2496344.

It is an arithmetic number, because the mean of its divisors is an integer number (32596610112).

Almost surely, 2^{2765771312640} is an apocalyptic number.

2765771312640 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 2765771312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215457617920).

2765771312640 is an abundant number, since it is smaller than the sum of its proper divisors (7665143923200).

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

2765771312640 is a wasteful number, since it uses less digits than its factorization.

2765771312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659633 (or 1659617 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 2765771312640 in words is "two trillion, seven hundred sixty-five billion, seven hundred seventy-one million, three hundred twelve thousand, six hundred forty".