2057512002 has 64 divisors (see below), whose sum is σ = 5078384640. Its totient is φ = 541168704.

The previous prime is 2057512001. The next prime is 2057512003. The reversal of 2057512002 is 2002157502.

It is an interprime number because it is at equal distance from previous prime (2057512001) and next prime (2057512003).

It is not an unprimeable number, because it can be changed into a prime (2057512001) 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 31 ways as a sum of consecutive naturals, for example, 204199 + ... + 214037.

It is an arithmetic number, because the mean of its divisors is an integer number (79349760).

Almost surely, 2^2057512002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057512002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539192320).

2057512002 is an abundant number, since it is smaller than the sum of its proper divisors (3020872638).

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

2057512002 is a wasteful number, since it uses less digits than its factorization.

2057512002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247.

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 2057512002 is about 45359.8060181037. The cubic root of 2057512002 is about 1271.8838683483.

Adding to 2057512002 its reverse (2002157502), we get a palindrome (4059669504).

The spelling of 2057512002 in words is "two billion, fifty-seven million, five hundred twelve thousand, two".