2683931490432 has 320 divisors, whose sum is σ = 8430494371200. Its totient is φ = 845261899776.

The previous prime is 2683931490403. The next prime is 2683931490433. The reversal of 2683931490432 is 2340941393862.

2683931490432 is a `hidden beast` number, since 2 + 6 + 83 + 9 + 31 + 490 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2683931490433) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 73459753 + ... + 73496279.

It is an arithmetic number, because the mean of its divisors is an integer number (26345294910).

Almost surely, 2^{2683931490432} 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 2683931490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215247185600).

2683931490432 is an abundant number, since it is smaller than the sum of its proper divisors (5746562880768).

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

2683931490432 is a wasteful number, since it uses less digits than its factorization.

2683931490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36945 (or 36924 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2683931490432 in words is "two trillion, six hundred eighty-three billion, nine hundred thirty-one million, four hundred ninety thousand, four hundred thirty-two".