2787842120700 has 288 divisors, whose sum is σ = 9940268337664. Its totient is φ = 587452124160.

The previous prime is 2787842120683. The next prime is 2787842120717. The reversal of 2787842120700 is 70212487872.

It is an interprime number because it is at equal distance from previous prime (2787842120683) and next prime (2787842120717).

It is a self number, because there is not a number n which added to its sum of digits gives 2787842120700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21420222 + ... + 21549978.

Almost surely, 2^{2787842120700} is an apocalyptic number.

2787842120700 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 2787842120700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970134168832).

2787842120700 is an abundant number, since it is smaller than the sum of its proper divisors (7152426216964).

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

2787842120700 is a wasteful number, since it uses less digits than its factorization.

2787842120700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130581 (or 130574 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 2787842120700 in words is "two trillion, seven hundred eighty-seven billion, eight hundred forty-two million, one hundred twenty thousand, seven hundred".