2141376000 has 320 divisors, whose sum is σ = 7507019520. Its totient is φ = 540057600.

The previous prime is 2141375993. The next prime is 2141376007. The reversal of 2141376000 is 6731412.

It is an interprime number because it is at equal distance from previous prime (2141375993) and next prime (2141376007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141376007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647707 + ... + 3648293.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^2141376000 is an apocalyptic number.

2141376000 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 2141376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2141376000 is an abundant number, since it is smaller than the sum of its proper divisors (5365643520).

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

2141376000 is an equidigital number, since it uses as much as digits as its factorization.

2141376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2141376000 is about 46275.0040518637. The cubic root of 2141376000 is about 1288.9348818749.

The spelling of 2141376000 in words is "two billion, one hundred forty-one million, three hundred seventy-six thousand".