2493926400000 has 672 divisors, whose sum is σ = 9501531863040. Its totient is φ = 569917440000.

The previous prime is 2493926399989. The next prime is 2493926400019. The reversal of 2493926400000 is 46293942.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 537597681 + ... + 537602319.

It is an arithmetic number, because the mean of its divisors is an integer number (14139184320).

Almost surely, 2^{2493926400000} is an apocalyptic number.

2493926400000 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 2493926400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750765931520).

2493926400000 is an abundant number, since it is smaller than the sum of its proper divisors (7007605463040).

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

2493926400000 is an frugal number, since it uses more digits than its factorization.

2493926400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 2493926400000 in words is "two trillion, four hundred ninety-three billion, nine hundred twenty-six million, four hundred thousand".