2494347264000 has 960 divisors, whose sum is σ = 9356367820800. Its totient is φ = 655589376000.

The previous prime is 2494347263971. The next prime is 2494347264037. The reversal of 2494347264000 is 4627434942.

2494347264000 is a `hidden beast` number, since 2 + 49 + 4 + 347 + 264 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4368383715 + ... + 4368384285.

It is an arithmetic number, because the mean of its divisors is an integer number (9746216480).

Almost surely, 2^{2494347264000} is an apocalyptic number.

2494347264000 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 2494347264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678183910400).

2494347264000 is an abundant number, since it is smaller than the sum of its proper divisors (6862020556800).

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

2494347264000 is an frugal number, since it uses more digits than its factorization.

2494347264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2494347264000 in words is "two trillion, four hundred ninety-four billion, three hundred forty-seven million, two hundred sixty-four thousand".