2042200752 has 80 divisors (see below), whose sum is σ = 5643826272. Its totient is φ = 634060800.

The previous prime is 2042200723. The next prime is 2042200777. The reversal of 2042200752 is 2570022402.

It is a super-2 number, since 2×2042200752² = 8341167822938731008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66252 + ... + 92052.

Almost surely, 2^2042200752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042200752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821913136).

2042200752 is an abundant number, since it is smaller than the sum of its proper divisors (3601625520).

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

2042200752 is a wasteful number, since it uses less digits than its factorization.

2042200752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25926 (or 25920 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2042200752 is about 45190.7153295896. The cubic root of 2042200752 is about 1268.7210453178.

The spelling of 2042200752 in words is "two billion, forty-two million, two hundred thousand, seven hundred fifty-two".