2059825152 has 312 divisors, whose sum is σ = 6992099712. Its totient is φ = 533299200.

The previous prime is 2059825151. The next prime is 2059825171. The reversal of 2059825152 is 2515289502.

It is a self number, because there is not a number n which added to its sum of digits gives 2059825152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059825151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6623077 + ... + 6623387.

It is an arithmetic number, because the mean of its divisors is an integer number (22410576).

Almost surely, 2^2059825152 is an apocalyptic number.

2059825152 is a gapful number since it is divisible by the number (22) 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 2059825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496049856).

2059825152 is an abundant number, since it is smaller than the sum of its proper divisors (4932274560).

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

2059825152 is a wasteful number, since it uses less digits than its factorization.

2059825152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 2059825152 is about 45385.2966499063. The cubic root of 2059825152 is about 1272.3603266991.

The spelling of 2059825152 in words is "two billion, fifty-nine million, eight hundred twenty-five thousand, one hundred fifty-two".