2642827433472 has 320 divisors, whose sum is σ = 8014296576000. Its totient is φ = 859443830784.

The previous prime is 2642827433461. The next prime is 2642827433479. The reversal of 2642827433472 is 2743347282462.

It is a happy number.

2642827433472 is a `hidden beast` number, since 2 + 6 + 4 + 28 + 274 + 3 + 347 + 2 = 666.

It is a super-2 number, since 2×2642827433472² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642827433479) 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 31 ways as a sum of consecutive naturals, for example, 635445729 + ... + 635449887.

It is an arithmetic number, because the mean of its divisors is an integer number (25044676800).

Almost surely, 2^{2642827433472} 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 2642827433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007148288000).

2642827433472 is an abundant number, since it is smaller than the sum of its proper divisors (5371469142528).

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

2642827433472 is a wasteful number, since it uses less digits than its factorization.

2642827433472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5276 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 2642827433472 in words is "two trillion, six hundred forty-two billion, eight hundred twenty-seven million, four hundred thirty-three thousand, four hundred seventy-two".