2102256120 has 128 divisors (see below), whose sum is σ = 6621834240. Its totient is φ = 532899840.

The previous prime is 2102256067. The next prime is 2102256127. The reversal of 2102256120 is 216522012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102256127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458640 + ... + 463200.

It is an arithmetic number, because the mean of its divisors is an integer number (51733080).

Almost surely, 2^2102256120 is an apocalyptic number.

2102256120 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 2102256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310917120).

2102256120 is an abundant number, since it is smaller than the sum of its proper divisors (4519578120).

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

2102256120 is a wasteful number, since it uses less digits than its factorization.

2102256120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2102256120 is about 45850.3666288504. The cubic root of 2102256120 is about 1281.0375945495.

Adding to 2102256120 its reverse (216522012), we get a palindrome (2318778132).

The spelling of 2102256120 in words is "two billion, one hundred two million, two hundred fifty-six thousand, one hundred twenty".