2087384640 has 224 divisors, whose sum is σ = 7314468480. Its totient is φ = 500121600.

The previous prime is 2087384639. The next prime is 2087384641. The reversal of 2087384640 is 464837802.

2087384640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2087384639) and next prime (2087384641).

It is a junction number, because it is equal to n+sod(n) for n = 2087384592 and 2087384601.

It is not an unprimeable number, because it can be changed into a prime (2087384641) 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, 938730 + ... + 940950.

Almost surely, 2^2087384640 is an apocalyptic number.

2087384640 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 2087384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657234240).

2087384640 is an abundant number, since it is smaller than the sum of its proper divisors (5227083840).

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

2087384640 is a wasteful number, since it uses less digits than its factorization.

2087384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2087384640 is about 45687.9047451292. The cubic root of 2087384640 is about 1278.0097324647.

The spelling of 2087384640 in words is "two billion, eighty-seven million, three hundred eighty-four thousand, six hundred forty".