2512033920 has 384 divisors, whose sum is σ = 9703774080. Its totient is φ = 593510400.

The previous prime is 2512033897. The next prime is 2512033921. The reversal of 2512033920 is 293302152.

2512033920 is a `hidden beast` number, since 251 + 20 + 3 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2512033921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2597277 + ... + 2598243.

It is an arithmetic number, because the mean of its divisors is an integer number (25270245).

Almost surely, 2^2512033920 is an apocalyptic number.

2512033920 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 2512033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851887040).

2512033920 is an abundant number, since it is smaller than the sum of its proper divisors (7191740160).

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

2512033920 is a wasteful number, since it uses less digits than its factorization.

2512033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1029 counting only the distinct ones).

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

The square root of 2512033920 is about 50120.1947322634. The cubic root of 2512033920 is about 1359.3829957833.

The spelling of 2512033920 in words is "two billion, five hundred twelve million, thirty-three thousand, nine hundred twenty".