2087283714048 has 768 divisors, whose sum is σ = 7119560448000. Its totient is φ = 598534520832.

The previous prime is 2087283714029. The next prime is 2087283714049. The reversal of 2087283714048 is 8404173827802.

2087283714048 is a `hidden beast` number, since 20 + 8 + 72 + 83 + 71 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2087283713985 and 2087283714003.

It is not an unprimeable number, because it can be changed into a prime (2087283714049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332024561 + ... + 1332026127.

It is an arithmetic number, because the mean of its divisors is an integer number (9270261000).

Almost surely, 2^{2087283714048} 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 2087283714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559780224000).

2087283714048 is an abundant number, since it is smaller than the sum of its proper divisors (5032276733952).

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

2087283714048 is a wasteful number, since it uses less digits than its factorization.

2087283714048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2087283714048 in words is "two trillion, eighty-seven billion, two hundred eighty-three million, seven hundred fourteen thousand, forty-eight".