2493407814912 has 432 divisors, whose sum is σ = 8731098335232. Its totient is φ = 668055306240.

The previous prime is 2493407814893. The next prime is 2493407814967. The reversal of 2493407814912 is 2194187043942.

2493407814912 is a `hidden beast` number, since 2 + 4 + 93 + 407 + 8 + 149 + 1 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 75930337 + ... + 75963167.

It is an arithmetic number, because the mean of its divisors is an integer number (20210875776).

Almost surely, 2^{2493407814912} 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 2493407814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365549167616).

2493407814912 is an abundant number, since it is smaller than the sum of its proper divisors (6237690520320).

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

2493407814912 is a wasteful number, since it uses less digits than its factorization.

2493407814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33154 (or 33137 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2493407814912 in words is "two trillion, four hundred ninety-three billion, four hundred seven million, eight hundred fourteen thousand, nine hundred twelve".