2146002600 has 192 divisors, whose sum is σ = 7624333440. Its totient is φ = 489139200.

The previous prime is 2146002587. The next prime is 2146002601. The reversal of 2146002600 is 62006412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2146002601) 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 47 ways as a sum of consecutive naturals, for example, 2775814 + ... + 2776586.

It is an arithmetic number, because the mean of its divisors is an integer number (39710070).

Almost surely, 2^2146002600 is an apocalyptic number.

2146002600 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 2146002600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812166720).

2146002600 is an abundant number, since it is smaller than the sum of its proper divisors (5478330840).

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

2146002600 is a wasteful number, since it uses less digits than its factorization.

2146002600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2146002600 is about 46324.9673502313. The cubic root of 2146002600 is about 1289.8624936059.

The spelling of 2146002600 in words is "two billion, one hundred forty-six million, two thousand, six hundred".