2780845452 has 576 divisors, whose sum is σ = 10001940480. Its totient is φ = 658627200.

The previous prime is 2780845451. The next prime is 2780845471. The reversal of 2780845452 is 2545480872.

2780845452 is a `hidden beast` number, since 27 + 8 + 0 + 84 + 545 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2780845398 and 2780845407.

It is not an unprimeable number, because it can be changed into a prime (2780845451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41505123 + ... + 41505189.

It is an arithmetic number, because the mean of its divisors is an integer number (17364480).

Almost surely, 2^2780845452 is an apocalyptic number.

2780845452 is a gapful number since it is divisible by the number (22) 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 2780845452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000970240).

2780845452 is an abundant number, since it is smaller than the sum of its proper divisors (7221095028).

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

2780845452 is a wasteful number, since it uses less digits than its factorization.

2780845452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2780845452 is about 52733.7221519589. The cubic root of 2780845452 is about 1406.2383937887.

The spelling of 2780845452 in words is "two billion, seven hundred eighty million, eight hundred forty-five thousand, four hundred fifty-two".