2826394560 has 560 divisors, whose sum is σ = 11471404032. Its totient is φ = 653875200.

The previous prime is 2826394553. The next prime is 2826394603. The reversal of 2826394560 is 654936282.

2826394560 is a `hidden beast` number, since 2 + 8 + 2 + 639 + 4 + 5 + 6 + 0 = 666.

2826394560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 6557545 + ... + 6557975.

Almost surely, 2^2826394560 is an apocalyptic number.

2826394560 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 2826394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735702016).

2826394560 is an abundant number, since it is smaller than the sum of its proper divisors (8645009472).

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

2826394560 is a wasteful number, since it uses less digits than its factorization.

2826394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2826394560 is about 53163.8463619780. The cubic root of 2826394560 is about 1413.8747204029.

It can be divided in two parts, 2826 and 394560, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 2826394560 in words is "two billion, eight hundred twenty-six million, three hundred ninety-four thousand, five hundred sixty".