2042687712 has 192 divisors, whose sum is σ = 6126188544. Its totient is φ = 591390720.

The previous prime is 2042687711. The next prime is 2042687719. The reversal of 2042687712 is 2177862402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042687711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430743 + ... + 1432169.

It is an arithmetic number, because the mean of its divisors is an integer number (31907232).

Almost surely, 2^2042687712 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 2042687712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063094272).

2042687712 is an abundant number, since it is smaller than the sum of its proper divisors (4083500832).

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

2042687712 is a wasteful number, since it uses less digits than its factorization.

2042687712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2042687712 is about 45196.1028408424. The cubic root of 2042687712 is about 1268.8218789080.

The spelling of 2042687712 in words is "two billion, forty-two million, six hundred eighty-seven thousand, seven hundred twelve".