2821865749560 has 1280 divisors, whose sum is σ = 11568698951040. Its totient is φ = 607707463680.

The previous prime is 2821865749517. The next prime is 2821865749561. The reversal of 2821865749560 is 659475681282.

2821865749560 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 8 + 6 + 574 + 9 + 56 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821865749561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1662854632 + ... + 1662856328.

Almost surely, 2^{2821865749560} is an apocalyptic number.

2821865749560 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 2821865749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784349475520).

2821865749560 is an abundant number, since it is smaller than the sum of its proper divisors (8746833201480).

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

2821865749560 is a wasteful number, since it uses less digits than its factorization.

2821865749560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2821865749560 in words is "two trillion, eight hundred twenty-one billion, eight hundred sixty-five million, seven hundred forty-nine thousand, five hundred sixty".