2042678469888 has 1152 divisors, whose sum is σ = 7491832320000. Its totient is φ = 547211427840.

The previous prime is 2042678469857. The next prime is 2042678469913. The reversal of 2042678469888 is 8889648762402.

2042678469888 is a `hidden beast` number, since 2 + 0 + 426 + 78 + 46 + 98 + 8 + 8 = 666.

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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6171233883 + ... + 6171234213.

Almost surely, 2^{2042678469888} is an apocalyptic number.

2042678469888 is a gapful number since it is divisible by the number (28) 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 2042678469888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745916160000).

2042678469888 is an abundant number, since it is smaller than the sum of its proper divisors (5449153850112).

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

2042678469888 is a wasteful number, since it uses less digits than its factorization.

2042678469888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 2042678469888 in words is "two trillion, forty-two billion, six hundred seventy-eight million, four hundred sixty-nine thousand, eight hundred eighty-eight".