2002942080 has 352 divisors, whose sum is σ = 7317901260. Its totient is φ = 524040192.

The previous prime is 2002942079. The next prime is 2002942087. The reversal of 2002942080 is 802492002.

It can be written as a sum of positive squares in 2 ways, for example, as 1999162944 + 3779136 = 44712^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2002942087) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 37791334 + ... + 37791386.

Almost surely, 2^2002942080 is an apocalyptic number.

2002942080 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 2002942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658950630).

2002942080 is an abundant number, since it is smaller than the sum of its proper divisors (5314959180).

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

2002942080 is an frugal number, since it uses more digits than its factorization.

2002942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2002942080 is about 44754.2409163646. The cubic root of 2002942080 is about 1260.5385452940.

The spelling of 2002942080 in words is "two billion, two million, nine hundred forty-two thousand, eighty".