2865985143840 has 1920 divisors, whose sum is σ = 13277924352000. Its totient is φ = 565264687104.

The previous prime is 2865985143803. The next prime is 2865985143869. The reversal of 2865985143840 is 483415895682.

2865985143840 is a `hidden beast` number, since 2 + 8 + 6 + 598 + 5 + 1 + 4 + 38 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1770218551 + ... + 1770220169.

It is an arithmetic number, because the mean of its divisors is an integer number (6915585600).

Almost surely, 2^{2865985143840} is an apocalyptic number.

2865985143840 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 2865985143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638962176000).

2865985143840 is an abundant number, since it is smaller than the sum of its proper divisors (10411939208160).

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

2865985143840 is a wasteful number, since it uses less digits than its factorization.

2865985143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 2865985143840 in words is "two trillion, eight hundred sixty-five billion, nine hundred eighty-five million, one hundred forty-three thousand, eight hundred forty".