2824714560 has 224 divisors, whose sum is σ = 9630168192. Its totient is φ = 698941440.

The previous prime is 2824714559. The next prime is 2824714561. The reversal of 2824714560 is 654174282.

It is an interprime number because it is at equal distance from previous prime (2824714559) and next prime (2824714561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824714561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190175 + ... + 1192545.

Almost surely, 2^2824714560 is an apocalyptic number.

2824714560 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 2824714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815084096).

2824714560 is an abundant number, since it is smaller than the sum of its proper divisors (6805453632).

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

2824714560 is a wasteful number, since it uses less digits than its factorization.

2824714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2824714560 is about 53148.0438021946. The cubic root of 2824714560 is about 1413.5945306581.

The spelling of 2824714560 in words is "two billion, eight hundred twenty-four million, seven hundred fourteen thousand, five hundred sixty".