2493982592640 has 768 divisors, whose sum is σ = 10749650745600. Its totient is φ = 517623644160.

The previous prime is 2493982592639. The next prime is 2493982592683. The reversal of 2493982592640 is 462952893942.

2493982592640 is a `hidden beast` number, since 2 + 4 + 9 + 39 + 8 + 2 + 592 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 447508894 + ... + 447514466.

It is an arithmetic number, because the mean of its divisors is an integer number (13996941075).

Almost surely, 2^{2493982592640} is an apocalyptic number.

2493982592640 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 2493982592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374825372800).

2493982592640 is an abundant number, since it is smaller than the sum of its proper divisors (8255668152960).

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

2493982592640 is a wasteful number, since it uses less digits than its factorization.

2493982592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2493982592640 in words is "two trillion, four hundred ninety-three billion, nine hundred eighty-two million, five hundred ninety-two thousand, six hundred forty".