2490319351296 has 400 divisors, whose sum is σ = 8599707507600. Its totient is φ = 711510331392.

The previous prime is 2490319351253. The next prime is 2490319351309. The reversal of 2490319351296 is 6921539130942.

2490319351296 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 31 + 9 + 3 + 512 + 96 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33153910 + ... + 33228938.

It is an arithmetic number, because the mean of its divisors is an integer number (21499268769).

Almost surely, 2^{2490319351296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490319351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299853753800).

2490319351296 is an abundant number, since it is smaller than the sum of its proper divisors (6109388156304).

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

2490319351296 is an frugal number, since it uses more digits than its factorization.

2490319351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75084 (or 75041 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 2490319351296 in words is "two trillion, four hundred ninety billion, three hundred nineteen million, three hundred fifty-one thousand, two hundred ninety-six".