2780682240000 has 1200 divisors, whose sum is σ = 10803098501888. Its totient is φ = 622854144000.

The previous prime is 2780682239971. The next prime is 2780682240019. The reversal of 2780682240000 is 422860872.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14407679904 + ... + 14407680096.

Almost surely, 2^{2780682240000} is an apocalyptic number.

2780682240000 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 2780682240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401549250944).

2780682240000 is an abundant number, since it is smaller than the sum of its proper divisors (8022416261888).

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

2780682240000 is an frugal number, since it uses more digits than its factorization.

2780682240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 2780682240000 in words is "two trillion, seven hundred eighty billion, six hundred eighty-two million, two hundred forty thousand".