2141282908800 has 1152 divisors, whose sum is σ = 9253213560000. Its totient is φ = 482067210240.

The previous prime is 2141282908777. The next prime is 2141282908823. The reversal of 2141282908800 is 88092821412.

It is an interprime number because it is at equal distance from previous prime (2141282908777) and next prime (2141282908823).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283647426 + ... + 283654974.

Almost surely, 2^{2141282908800} is an apocalyptic number.

2141282908800 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 2141282908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626606780000).

2141282908800 is an abundant number, since it is smaller than the sum of its proper divisors (7111930651200).

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

2141282908800 is a wasteful number, since it uses less digits than its factorization.

2141282908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 2141282908800 in words is "two trillion, one hundred forty-one billion, two hundred eighty-two million, nine hundred eight thousand, eight hundred".