2092780132560 has 1120 divisors, whose sum is σ = 8359890245280. Its totient is φ = 482439462912.

The previous prime is 2092780132559. The next prime is 2092780132571. The reversal of 2092780132560 is 652310872902.

2092780132560 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 7 + 80 + 1 + 3 + 2 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 67520983104 + 2025259149456 = 259848^2 + 1423116^2 .

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 223 ways as a sum of consecutive naturals, for example, 5116821636 + ... + 5116822044.

It is an arithmetic number, because the mean of its divisors is an integer number (7464187719).

Almost surely, 2^{2092780132560} is an apocalyptic number.

2092780132560 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 2092780132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179945122640).

2092780132560 is an abundant number, since it is smaller than the sum of its proper divisors (6267110112720).

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

2092780132560 is a wasteful number, since it uses less digits than its factorization.

2092780132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2092780132560 in words is "two trillion, ninety-two billion, seven hundred eighty million, one hundred thirty-two thousand, five hundred sixty".