2033125920 has 480 divisors, whose sum is σ = 8339683968. Its totient is φ = 456855552.

The previous prime is 2033125903. The next prime is 2033125937. The reversal of 2033125920 is 295213302.

It is an interprime number because it is at equal distance from previous prime (2033125903) and next prime (2033125937).

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6622407 + ... + 6622713.

Almost surely, 2^2033125920 is an apocalyptic number.

2033125920 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 2033125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169841984).

2033125920 is an abundant number, since it is smaller than the sum of its proper divisors (6306558048).

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

2033125920 is a wasteful number, since it uses less digits than its factorization.

2033125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2033125920 is about 45090.1976043574. The cubic root of 2033125920 is about 1266.8390027137.

The spelling of 2033125920 in words is "two billion, thirty-three million, one hundred twenty-five thousand, nine hundred twenty".