2042820000 has 600 divisors, whose sum is σ = 8168288436. Its totient is φ = 497664000.

The previous prime is 2042819981. The next prime is 2042820037. The reversal of 2042820000 is 282402.

2042820000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 477509904 + 1565310096 = 21852^2 + 39564^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×2042820000² = 8346227104800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21059952 + ... + 21060048.

Almost surely, 2^2042820000 is an apocalyptic number.

2042820000 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 2042820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084144218).

2042820000 is an abundant number, since it is smaller than the sum of its proper divisors (6125468436).

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

2042820000 is an equidigital number, since it uses as much as digits as its factorization.

2042820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042820000 is about 45197.5663061630. The cubic root of 2042820000 is about 1268.8492686854.

The spelling of 2042820000 in words is "two billion, forty-two million, eight hundred twenty thousand".