2042560800 has 864 divisors, whose sum is σ = 9099417600. Its totient is φ = 436700160.

The previous prime is 2042560763. The next prime is 2042560823. The reversal of 2042560800 is 80652402.

2042560800 is a `hidden beast` number, since 20 + 4 + 2 + 560 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25855161 + ... + 25855239.

Almost surely, 2^2042560800 is an apocalyptic number.

2042560800 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 2042560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

2042560800 is an abundant number, since it is smaller than the sum of its proper divisors (7056856800).

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

2042560800 is a wasteful number, since it uses less digits than its factorization.

2042560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2042560800 is about 45194.6988041739. The cubic root of 2042560800 is about 1268.7956011015.

It can be divided in two parts, 20425 and 60800, that added together give a square (81225 = 285²).

The spelling of 2042560800 in words is "two billion, forty-two million, five hundred sixty thousand, eight hundred".