2042968200 has 768 divisors, whose sum is σ = 8639447040. Its totient is φ = 387072000.

The previous prime is 2042968199. The next prime is 2042968219. The reversal of 2042968200 is 28692402.

It is a super-2 number, since 2×2042968200² = 8347438132422480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28774165 + ... + 28774235.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^2042968200 is an apocalyptic number.

2042968200 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 2042968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319723520).

2042968200 is an abundant number, since it is smaller than the sum of its proper divisors (6596478840).

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

2042968200 is a wasteful number, since it uses less digits than its factorization.

2042968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2042968200 is about 45199.2057452341. The cubic root of 2042968200 is about 1268.8799515837.

The spelling of 2042968200 in words is "two billion, forty-two million, nine hundred sixty-eight thousand, two hundred".