2042653320 has 192 divisors, whose sum is σ = 6796707840. Its totient is φ = 531878400.

The previous prime is 2042653313. The next prime is 2042653363. The reversal of 2042653320 is 233562402.

2042653320 = T₄₅₂₉ + T₄₅₃₀ + ... + T₄₇₁₉.

2042653320 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 653 + 3 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194117 + ... + 4194603.

It is an arithmetic number, because the mean of its divisors is an integer number (35399520).

Almost surely, 2^2042653320 is an apocalyptic number.

2042653320 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 2042653320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398353920).

2042653320 is an abundant number, since it is smaller than the sum of its proper divisors (4754054520).

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

2042653320 is a wasteful number, since it uses less digits than its factorization.

2042653320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2042653320 is about 45195.7223639583. The cubic root of 2042653320 is about 1268.8147579685.

The spelling of 2042653320 in words is "two billion, forty-two million, six hundred fifty-three thousand, three hundred twenty".