2493945699840 has 480 divisors, whose sum is σ = 9882217515456. Its totient is φ = 569404293120.

The previous prime is 2493945699827. The next prime is 2493945699851. The reversal of 2493945699840 is 489965493942.

2493945699840 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 9 + 456 + 99 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 151756264 + ... + 151772696.

Almost surely, 2^{2493945699840} is an apocalyptic number.

2493945699840 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 2493945699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941108757728).

2493945699840 is an abundant number, since it is smaller than the sum of its proper divisors (7388271815616).

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

2493945699840 is a wasteful number, since it uses less digits than its factorization.

2493945699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410 (or 17391 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 2493945699840 in words is "two trillion, four hundred ninety-three billion, nine hundred forty-five million, six hundred ninety-nine thousand, eight hundred forty".