2042565120 has 320 divisors, whose sum is σ = 7512912000. Its totient is φ = 525385728.

The previous prime is 2042565103. The next prime is 2042565121. The reversal of 2042565120 is 215652402.

2042565120 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 5 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2042565120² = 8344144538881228800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042565121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003971 + ... + 2004989.

It is an arithmetic number, because the mean of its divisors is an integer number (23477850).

Almost surely, 2^2042565120 is an apocalyptic number.

2042565120 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 2042565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756456000).

2042565120 is an abundant number, since it is smaller than the sum of its proper divisors (5470346880).

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

2042565120 is a wasteful number, since it uses less digits than its factorization.

2042565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2042565120 is about 45194.7465973646. The cubic root of 2042565120 is about 1268.7964955984.

The spelling of 2042565120 in words is "two billion, forty-two million, five hundred sixty-five thousand, one hundred twenty".