2002680042 has 64 divisors (see below), whose sum is σ = 4557385728. Its totient is φ = 581184000.

The previous prime is 2002680007. The next prime is 2002680059. The reversal of 2002680042 is 2400862002.

It is a junction number, because it is equal to n+sod(n) for n = 2002679994 and 2002680021.

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, 193417 + ... + 203507.

It is an arithmetic number, because the mean of its divisors is an integer number (71209152).

Almost surely, 2^2002680042 is an apocalyptic number.

2002680042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002680042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278692864).

2002680042 is an abundant number, since it is smaller than the sum of its proper divisors (2554705686).

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

2002680042 is a wasteful number, since it uses less digits than its factorization.

2002680042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2002680042 is about 44751.3132991648. The cubic root of 2002680042 is about 1260.4835722608.

The spelling of 2002680042 in words is "two billion, two million, six hundred eighty thousand, forty-two".