2763164232480 has 192 divisors, whose sum is σ = 8990683140096. Its totient is φ = 712603008000.

The previous prime is 2763164232463. The next prime is 2763164232529. The reversal of 2763164232480 is 842324613672.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22720635 + ... + 22841925.

It is an arithmetic number, because the mean of its divisors is an integer number (46826474688).

Almost surely, 2^{2763164232480} is an apocalyptic number.

2763164232480 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 2763164232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495341570048).

2763164232480 is an abundant number, since it is smaller than the sum of its proper divisors (6227518907616).

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

2763164232480 is a wasteful number, since it uses less digits than its factorization.

2763164232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122871 (or 122863 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 2763164232480 in words is "two trillion, seven hundred sixty-three billion, one hundred sixty-four million, two hundred thirty-two thousand, four hundred eighty".