2042481280 has 128 divisors (see below), whose sum is σ = 5616593280. Its totient is φ = 695734272.

The previous prime is 2042481271. The next prime is 2042481313. The reversal of 2042481280 is 821842402.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728842 + ... + 731638.

It is an arithmetic number, because the mean of its divisors is an integer number (43879635).

Almost surely, 2^2042481280 is an apocalyptic number.

2042481280 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 2042481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808296640).

2042481280 is an abundant number, since it is smaller than the sum of its proper divisors (3574112000).

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

2042481280 is a wasteful number, since it uses less digits than its factorization.

2042481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 2042481280 is about 45193.8190464139. The cubic root of 2042481280 is about 1268.7791355067.

The spelling of 2042481280 in words is "two billion, forty-two million, four hundred eighty-one thousand, two hundred eighty".