2050752000 has 320 divisors, whose sum is σ = 7445737728. Its totient is φ = 496640000.

The previous prime is 2050751999. The next prime is 2050752019. The reversal of 2050752000 is 2570502.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111515 + ... + 2112485.

Almost surely, 2^2050752000 is an apocalyptic number.

2050752000 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 2050752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722868864).

2050752000 is an abundant number, since it is smaller than the sum of its proper divisors (5394985728).

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

2050752000 is an equidigital number, since it uses as much as digits as its factorization.

2050752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2050752000 is about 45285.2293800087. The cubic root of 2050752000 is about 1270.4894056915.

The spelling of 2050752000 in words is "two billion, fifty million, seven hundred fifty-two thousand".