2642107000000 has 392 divisors, whose sum is σ = 7105797169632. Its totient is φ = 968908800000.

The previous prime is 2642106999979. The next prime is 2642107000003. The reversal of 2642107000000 is 7012462.

It is not an unprimeable number, because it can be changed into a prime (2642107000003) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2170999392 + ... + 2171000608.

It is an arithmetic number, because the mean of its divisors is an integer number (18127033596).

Almost surely, 2^{2642107000000} is an apocalyptic number.

2642107000000 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 2642107000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552898584816).

2642107000000 is an abundant number, since it is smaller than the sum of its proper divisors (4463690169632).

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

2642107000000 is an equidigital number, since it uses as much as digits as its factorization.

2642107000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 2642107000000 in words is "two trillion, six hundred forty-two billion, one hundred seven million", and thus it is an aban number.