2146365100 has 72 divisors (see below), whose sum is σ = 5157044928. Its totient is φ = 768820800.

The previous prime is 2146365097. The next prime is 2146365103. The reversal of 2146365100 is 15636412.

It is an interprime number because it is at equal distance from previous prime (2146365097) and next prime (2146365103).

It is not an unprimeable number, because it can be changed into a prime (2146365103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59139 + ... + 88261.

It is an arithmetic number, because the mean of its divisors is an integer number (71625624).

Almost surely, 2^2146365100 is an apocalyptic number.

2146365100 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 2146365100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578522464).

2146365100 is an abundant number, since it is smaller than the sum of its proper divisors (3010679828).

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

2146365100 is a wasteful number, since it uses less digits than its factorization.

2146365100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29215 (or 29208 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2146365100 is about 46328.8797619800. The cubic root of 2146365100 is about 1289.9351168216.

The spelling of 2146365100 in words is "two billion, one hundred forty-six million, three hundred sixty-five thousand, one hundred".