2042915954688 has 336 divisors, whose sum is σ = 7099459024320. Its totient is φ = 552967077888.

The previous prime is 2042915954659. The next prime is 2042915954711. The reversal of 2042915954688 is 8864595192402.

2042915954688 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 9 + 1 + 5 + 9 + 546 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9701656 + ... + 9909992.

Almost surely, 2^{2042915954688} is an apocalyptic number.

2042915954688 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 2042915954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549729512160).

2042915954688 is an abundant number, since it is smaller than the sum of its proper divisors (5056543069632).

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

2042915954688 is a wasteful number, since it uses less digits than its factorization.

2042915954688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208395 (or 208368 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 2042915954688 in words is "two trillion, forty-two billion, nine hundred fifteen million, nine hundred fifty-four thousand, six hundred eighty-eight".