2642187800000 has 504 divisors, whose sum is σ = 7768759517568. Its totient is φ = 888625920000.

The previous prime is 2642187799981. The next prime is 2642187800011. The reversal of 2642187800000 is 87812462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 519397457 + ... + 519402543.

It is an arithmetic number, because the mean of its divisors is an integer number (15414205392).

Almost surely, 2^{2642187800000} is an apocalyptic number.

2642187800000 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 2642187800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884379758784).

2642187800000 is an abundant number, since it is smaller than the sum of its proper divisors (5126571717568).

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

2642187800000 is an frugal number, since it uses more digits than its factorization.

2642187800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 2642187800000 in words is "two trillion, six hundred forty-two billion, one hundred eighty-seven million, eight hundred thousand".