2442987138816 has 648 divisors, whose sum is σ = 8903448153600. Its totient is φ = 639911301120.

The previous prime is 2442987138811. The next prime is 2442987138841. The reversal of 2442987138816 is 6188317892442.

It is a happy number.

2442987138816 is a `hidden beast` number, since 2 + 442 + 9 + 87 + 1 + 38 + 81 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442987138811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66477375 + ... + 66514113.

Almost surely, 2^{2442987138816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442987138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451724076800).

2442987138816 is an abundant number, since it is smaller than the sum of its proper divisors (6460461014784).

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

2442987138816 is a wasteful number, since it uses less digits than its factorization.

2442987138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36825 (or 36801 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2442987138816 in words is "two trillion, four hundred forty-two billion, nine hundred eighty-seven million, one hundred thirty-eight thousand, eight hundred sixteen".