2982152333160 has 3072 divisors, whose sum is σ = 14607911485440. Its totient is φ = 506953728000.

The previous prime is 2982152333087. The next prime is 2982152333203. The reversal of 2982152333160 is 613332512892.

2982152333160 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 152 + 333 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7786298329 + ... + 7786298711.

It is an arithmetic number, because the mean of its divisors is an integer number (4755179520).

Almost surely, 2^{2982152333160} is an apocalyptic number.

2982152333160 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 2982152333160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303955742720).

2982152333160 is an abundant number, since it is smaller than the sum of its proper divisors (11625759152280).

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

2982152333160 is a wasteful number, since it uses less digits than its factorization.

2982152333160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2982152333160 in words is "two trillion, nine hundred eighty-two billion, one hundred fifty-two million, three hundred thirty-three thousand, one hundred sixty".