2780085086100 has 360 divisors, whose sum is σ = 10309659389568. Its totient is φ = 634812422400.

The previous prime is 2780085086033. The next prime is 2780085086131. The reversal of 2780085086100 is 16805800872.

2780085086100 is a `hidden beast` number, since 2 + 7 + 80 + 0 + 8 + 508 + 61 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57866689 + ... + 57914711.

Almost surely, 2^{2780085086100} is an apocalyptic number.

2780085086100 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 2780085086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154829694784).

2780085086100 is an abundant number, since it is smaller than the sum of its proper divisors (7529574303468).

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

2780085086100 is a wasteful number, since it uses less digits than its factorization.

2780085086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49077 (or 49061 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 2780085086100 in words is "two trillion, seven hundred eighty billion, eighty-five million, eighty-six thousand, one hundred".