2982262182240 has 192 divisors, whose sum is σ = 10249168930560. Its totient is φ = 722899875840.

The previous prime is 2982262182233. The next prime is 2982262182259. The reversal of 2982262182240 is 422812622892.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2982262182240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67715107 + ... + 67759133.

It is an arithmetic number, because the mean of its divisors is an integer number (53381088180).

Almost surely, 2^{2982262182240} is an apocalyptic number.

2982262182240 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 2982262182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124584465280).

2982262182240 is an abundant number, since it is smaller than the sum of its proper divisors (7266906748320).

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

2982262182240 is a wasteful number, since it uses less digits than its factorization.

2982262182240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56885 (or 56877 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 2982262182240 in words is "two trillion, nine hundred eighty-two billion, two hundred sixty-two million, one hundred eighty-two thousand, two hundred forty".