2042658000 has 320 divisors, whose sum is σ = 7423453440. Its totient is φ = 543542400.

The previous prime is 2042657999. The next prime is 2042658029. The reversal of 2042658000 is 8562402.

2042658000 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 658 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 4373767 + ... + 4374233.

It is an arithmetic number, because the mean of its divisors is an integer number (23198292).

Almost surely, 2^2042658000 is an apocalyptic number.

2042658000 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 2042658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711726720).

2042658000 is an abundant number, since it is smaller than the sum of its proper divisors (5380795440).

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

2042658000 is an frugal number, since it uses more digits than its factorization.

2042658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 477 counting only the distinct ones).

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

The square root of 2042658000 is about 45195.7741387400. The cubic root of 2042658000 is about 1268.8157269775.

The spelling of 2042658000 in words is "two billion, forty-two million, six hundred fifty-eight thousand".