2084987520 has 512 divisors, whose sum is σ = 9212313600. Its totient is φ = 432967680.

The previous prime is 2084987507. The next prime is 2084987533. The reversal of 2084987520 is 257894802.

2084987520 is a `hidden beast` number, since 2 + 0 + 8 + 49 + 87 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2084987507) and next prime (2084987533).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329777 + ... + 1331343.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2084987520 is an apocalyptic number.

2084987520 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 2084987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2084987520 is an abundant number, since it is smaller than the sum of its proper divisors (7127326080).

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

2084987520 is a wasteful number, since it uses less digits than its factorization.

2084987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2084987520 is about 45661.6635702205. The cubic root of 2084987520 is about 1277.5203295874.

The spelling of 2084987520 in words is "two billion, eighty-four million, nine hundred eighty-seven thousand, five hundred twenty".