2142310480800 has 576 divisors, whose sum is σ = 8678144563200. Its totient is φ = 447900364800.

The previous prime is 2142310480789. The next prime is 2142310480811. The reversal of 2142310480800 is 80840132412.

It is an interprime number because it is at equal distance from previous prime (2142310480789) and next prime (2142310480811).

It is a super-2 number, since 2×2142310480800² (a number of 25 digits) contains 22 as substring.

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, 9141085 + ... + 9372515.

It is an arithmetic number, because the mean of its divisors is an integer number (15066223200).

Almost surely, 2^{2142310480800} is an apocalyptic number.

2142310480800 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 2142310480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339072281600).

2142310480800 is an abundant number, since it is smaller than the sum of its proper divisors (6535834082400).

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

2142310480800 is a wasteful number, since it uses less digits than its factorization.

2142310480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231509 (or 231496 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 2142310480800 in words is "two trillion, one hundred forty-two billion, three hundred ten million, four hundred eighty thousand, eight hundred".