2682001020 has 192 divisors, whose sum is σ = 8067870720. Its totient is φ = 664215552.

The previous prime is 2682001001. The next prime is 2682001057. The reversal of 2682001020 is 201002862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7958292 + ... + 7958628.

It is an arithmetic number, because the mean of its divisors is an integer number (42020160).

Almost surely, 2^2682001020 is an apocalyptic number.

2682001020 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 2682001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033935360).

2682001020 is an abundant number, since it is smaller than the sum of its proper divisors (5385869700).

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

2682001020 is a wasteful number, since it uses less digits than its factorization.

2682001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2682001020 is about 51788.0393527309. The cubic root of 2682001020 is about 1389.3755316508.

Adding to 2682001020 its reverse (201002862), we get a palindrome (2883003882).

The spelling of 2682001020 in words is "two billion, six hundred eighty-two million, one thousand, twenty".