2042678010240 has 1920 divisors, whose sum is σ = 9100647198720. Its totient is φ = 427204730880.

The previous prime is 2042678010161. The next prime is 2042678010257. The reversal of 2042678010240 is 420108762402.

2042678010240 is a `hidden beast` number, since 20 + 426 + 78 + 0 + 102 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042678010195 and 2042678010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4060989829 + ... + 4060990331.

It is an arithmetic number, because the mean of its divisors is an integer number (4739920416).

Almost surely, 2^{2042678010240} is an apocalyptic number.

2042678010240 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 2042678010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550323599360).

2042678010240 is an abundant number, since it is smaller than the sum of its proper divisors (7057969188480).

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

2042678010240 is a wasteful number, since it uses less digits than its factorization.

2042678010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2042678010240 in words is "two trillion, forty-two billion, six hundred seventy-eight million, ten thousand, two hundred forty".