1982265374520 has 192 divisors, whose sum is σ = 6840877680000. Its totient is φ = 496083677184.

The previous prime is 1982265374501. The next prime is 1982265374539. The reversal of 1982265374520 is 254735622891.

1982265374520 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 265 + 374 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1982265374501) and next prime (1982265374539).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671841 + ... + 2599919.

It is an arithmetic number, because the mean of its divisors is an integer number (35629571250).

It is a 1-persistent number, because it is pandigital, but 2⋅1982265374520 = 3964530749040 is not.

Almost surely, 2^{1982265374520} is an apocalyptic number.

1982265374520 is a gapful number since it is divisible by the number (10) 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 1982265374520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420438840000).

1982265374520 is an abundant number, since it is smaller than the sum of its proper divisors (4858612305480).

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

1982265374520 is a wasteful number, since it uses less digits than its factorization.

1982265374520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928462 (or 928455 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1982265374520 in words is "one trillion, nine hundred eighty-two billion, two hundred sixty-five million, three hundred seventy-four thousand, five hundred twenty".