2490003597312 has 1152 divisors, whose sum is σ = 9375628953600. Its totient is φ = 641389363200.

The previous prime is 2490003597253. The next prime is 2490003597373. The reversal of 2490003597312 is 2137953000942.

2490003597312 is a `hidden beast` number, since 2 + 49 + 0 + 0 + 0 + 3 + 597 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6935942989 + ... + 6935943347.

It is an arithmetic number, because the mean of its divisors is an integer number (8138566800).

Almost surely, 2^{2490003597312} is an apocalyptic number.

2490003597312 is a gapful number since it is divisible by the number (22) 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 2490003597312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687814476800).

2490003597312 is an abundant number, since it is smaller than the sum of its proper divisors (6885625356288).

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

2490003597312 is a wasteful number, since it uses less digits than its factorization.

2490003597312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2490003597312 in words is "two trillion, four hundred ninety billion, three million, five hundred ninety-seven thousand, three hundred twelve".