2883284262144 has 432 divisors, whose sum is σ = 9777950529984. Its totient is φ = 805574246400.

The previous prime is 2883284262119. The next prime is 2883284262169. The reversal of 2883284262144 is 4412624823882.

It is a happy number.

2883284262144 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 2 + 8 + 4 + 2 + 621 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2883284262119) and next prime (2883284262169).

It is a super-2 number, since 2×2883284262144² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312005364 + ... + 312014604.

Almost surely, 2^{2883284262144} is an apocalyptic number.

2883284262144 is a gapful number since it is divisible by the number (24) 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 2883284262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888975264992).

2883284262144 is an abundant number, since it is smaller than the sum of its proper divisors (6894666267840).

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

2883284262144 is a wasteful number, since it uses less digits than its factorization.

2883284262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 10217 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 2883284262144 in words is "two trillion, eight hundred eighty-three billion, two hundred eighty-four million, two hundred sixty-two thousand, one hundred forty-four".