2087576064 has 560 divisors, whose sum is σ = 7728576768. Its totient is φ = 549421056.

The previous prime is 2087576063. The next prime is 2087576123. The reversal of 2087576064 is 4606757802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087576063) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44416489 + ... + 44416535.

Almost surely, 2^2087576064 is an apocalyptic number.

2087576064 is a gapful number since it is divisible by the number (24) 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 2087576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864288384).

2087576064 is an abundant number, since it is smaller than the sum of its proper divisors (5641000704).

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

2087576064 is an frugal number, since it uses more digits than its factorization.

2087576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2087576064 is about 45689.9996060407. Note that the first 3 decimals coincide. The cubic root of 2087576064 is about 1278.0487979780.

The spelling of 2087576064 in words is "two billion, eighty-seven million, five hundred seventy-six thousand, sixty-four".