2042145414960 has 320 divisors, whose sum is σ = 7816963968000. Its totient is φ = 439318376448.

The previous prime is 2042145414931. The next prime is 2042145414983. The reversal of 2042145414960 is 694145412402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669811 + ... + 2129069.

It is an arithmetic number, because the mean of its divisors is an integer number (24428012400).

Almost surely, 2^{2042145414960} is an apocalyptic number.

2042145414960 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 2042145414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908481984000).

2042145414960 is an abundant number, since it is smaller than the sum of its proper divisors (5774818553040).

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

2042145414960 is a wasteful number, since it uses less digits than its factorization.

2042145414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459313 (or 1459293 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2042145414960 in words is "two trillion, forty-two billion, one hundred forty-five million, four hundred fourteen thousand, nine hundred sixty".