2033942400 has 960 divisors, whose sum is σ = 9182448000. Its totient is φ = 432967680.

The previous prime is 2033942389. The next prime is 2033942413. The reversal of 2033942400 is 42493302.

It is a happy number.

2033942400 is a `hidden beast` number, since 203 + 39 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 34473571 + ... + 34473629.

It is an arithmetic number, because the mean of its divisors is an integer number (9565050).

Almost surely, 2^2033942400 is an apocalyptic number.

2033942400 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 2033942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591224000).

2033942400 is an abundant number, since it is smaller than the sum of its proper divisors (7148505600).

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

2033942400 is a wasteful number, since it uses less digits than its factorization.

2033942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2033942400 is about 45099.2505480967. The cubic root of 2033942400 is about 1267.0085626786.

The spelling of 2033942400 in words is "two billion, thirty-three million, nine hundred forty-two thousand, four hundred".