2107487616000 has 704 divisors, whose sum is σ = 7600459251840. Its totient is φ = 515270246400.

The previous prime is 2107487615983. The next prime is 2107487616007. The reversal of 2107487616000 is 6167847012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107487616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783742656 + ... + 783745344.

Almost surely, 2^{2107487616000} is an apocalyptic number.

2107487616000 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 2107487616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800229625920).

2107487616000 is an abundant number, since it is smaller than the sum of its proper divisors (5492971635840).

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

2107487616000 is a wasteful number, since it uses less digits than its factorization.

2107487616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 2107487616000 in words is "two trillion, one hundred seven billion, four hundred eighty-seven million, six hundred sixteen thousand".