2106087984 has 480 divisors, whose sum is σ = 8341132800. Its totient is φ = 477757440.

The previous prime is 2106087979. The next prime is 2106088009. The reversal of 2106087984 is 4897806012.

It is a super-3 number, since 3×2106087984³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738352 + ... + 2739120.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 2^2106087984 is an apocalyptic number.

2106087984 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 2106087984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170566400).

2106087984 is an abundant number, since it is smaller than the sum of its proper divisors (6235044816).

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

2106087984 is a wasteful number, since it uses less digits than its factorization.

2106087984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2106087984 is about 45892.1342279916. The cubic root of 2106087984 is about 1281.8154544793.

The spelling of 2106087984 in words is "two billion, one hundred six million, eighty-seven thousand, nine hundred eighty-four".