2780382996000 has 240 divisors, whose sum is σ = 10204933578840. Its totient is φ = 741435379200.

The previous prime is 2780382995981. The next prime is 2780382996047. The reversal of 2780382996000 is 6992830872.

It is a happy number.

2780382996000 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 3 + 8 + 29 + 9 + 600 + 0 = 666.

2780382996000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 864074357136 + 1916308638864 = 929556^2 + 1384308^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3966715 + ... + 4614714.

Almost surely, 2^{2780382996000} is an apocalyptic number.

2780382996000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780382996000 is an abundant number, since it is smaller than the sum of its proper divisors (7424550582840).

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

2780382996000 is an equidigital number, since it uses as much as digits as its factorization.

2780382996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8581466 (or 8581439 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2780382996000 in words is "two trillion, seven hundred eighty billion, three hundred eighty-two million, nine hundred ninety-six thousand".