2042303002920 has 480 divisors, whose sum is σ = 7527636487800. Its totient is φ = 494891679744.

The previous prime is 2042303002913. The next prime is 2042303002963. The reversal of 2042303002920 is 292003032402.

2042303002920 is a `hidden beast` number, since 2 + 0 + 42 + 30 + 300 + 292 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 418528775844 + 1623774227076 = 646938^2 + 1274274^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46300236 + ... + 46344324.

Almost surely, 2^{2042303002920} is an apocalyptic number.

2042303002920 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 2042303002920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763818243900).

2042303002920 is an abundant number, since it is smaller than the sum of its proper divisors (5485333484880).

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

2042303002920 is a wasteful number, since it uses less digits than its factorization.

2042303002920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44187 (or 44145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 2042303002920 in words is "two trillion, forty-two billion, three hundred three million, two thousand, nine hundred twenty".