2766026465280 has 672 divisors, whose sum is σ = 10708809025824. Its totient is φ = 680836202496.

The previous prime is 2766026465273. The next prime is 2766026465297. The reversal of 2766026465280 is 825646206672.

It is a happy number.

2766026465280 is a `hidden beast` number, since 2 + 7 + 6 + 602 + 6 + 4 + 6 + 5 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129381952 + ... + 129403328.

It is an arithmetic number, because the mean of its divisors is an integer number (15935727717).

Almost surely, 2^{2766026465280} is an apocalyptic number.

2766026465280 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 2766026465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354404512912).

2766026465280 is an abundant number, since it is smaller than the sum of its proper divisors (7942782560544).

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

2766026465280 is an equidigital number, since it uses as much as digits as its factorization.

2766026465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21436 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2766026465280 in words is "two trillion, seven hundred sixty-six billion, twenty-six million, four hundred sixty-five thousand, two hundred eighty".