2496723166080 has 768 divisors, whose sum is σ = 10222043832000. Its totient is φ = 553561620480.

The previous prime is 2496723166079. The next prime is 2496723166087. The reversal of 2496723166080 is 806613276942.

2496723166080 is a `hidden beast` number, since 2 + 4 + 9 + 6 + 7 + 23 + 1 + 6 + 608 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496723166087) 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 95 ways as a sum of consecutive naturals, for example, 89767216 + ... + 89795024.

Almost surely, 2^{2496723166080} is an apocalyptic number.

2496723166080 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 2496723166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111021916000).

2496723166080 is an abundant number, since it is smaller than the sum of its proper divisors (7725320665920).

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

2496723166080 is a wasteful number, since it uses less digits than its factorization.

2496723166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27967 (or 27952 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2496723166080 in words is "two trillion, four hundred ninety-six billion, seven hundred twenty-three million, one hundred sixty-six thousand, eighty".