2642646212000 has 144 divisors (see below), whose sum is σ = 6709199010696. Its totient is φ = 1022958336000.

The previous prime is 2642646211991. The next prime is 2642646212051. The reversal of 2642646212000 is 2126462462.

It can be written as a sum of positive squares in 4 ways, for example, as 619413072784 + 2023233139216 = 787028^2 + 1422404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3500264 + ... + 4187736.

Almost surely, 2^{2642646212000} is an apocalyptic number.

2642646212000 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 2642646212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354599505348).

2642646212000 is an abundant number, since it is smaller than the sum of its proper divisors (4066552798696).

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

2642646212000 is an equidigital number, since it uses as much as digits as its factorization.

2642646212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687560 (or 687511 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 2642646212000 in words is "two trillion, six hundred forty-two billion, six hundred forty-six million, two hundred twelve thousand".