2145141000 has 384 divisors, whose sum is σ = 7773891840. Its totient is φ = 532224000.

The previous prime is 2145140999. The next prime is 2145141071. The reversal of 2145141000 is 1415412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8900880 + ... + 8901120.

It is an arithmetic number, because the mean of its divisors is an integer number (20244510).

Almost surely, 2^2145141000 is an apocalyptic number.

2145141000 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 2145141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886945920).

2145141000 is an abundant number, since it is smaller than the sum of its proper divisors (5628750840).

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

2145141000 is a wasteful number, since it uses less digits than its factorization.

2145141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2145141000 is about 46315.6668957708. Note that the first 3 decimals coincide. The cubic root of 2145141000 is about 1289.6898479174.

Adding to 2145141000 its reverse (1415412), we get a palindrome (2146556412).

The spelling of 2145141000 in words is "two billion, one hundred forty-five million, one hundred forty-one thousand".